Automatically assigned DDC number: 00582

Manually assigned DDC number: 00582

Number of references: 35

Title: Lattice Reduction in Cryptology: An Update

Author:

Author:

Subject: Phong Q. Nguyen,Jacques Stern Lattice Reduction in Cryptology: An Update

Description: . Lattices are regular arrangements of points in space, whose study appeared in the 19th century in both number theory and crystallography. The goal of lattice reduction is to find useful representations of lattices. A major breakthrough in that field occurred twenty years ago, with the appearance of Lov'asz's reduction algorithm, also known as LLL or L 3 . Lattice reduction algorithms have since proved invaluable in many areas of mathematics and computer science, especially in algorithmic number theory and cryptology. In this paper, we survey some applications of lattices to cryptology. We focus on recent developments of lattice reduction both in cryptography and cryptanalysis, which followed seminal works of Ajtai and Coppersmith. 1 Introduction Lattices are discrete subgroups of R n . A lattice has infinitely many Z-bases, but some are more useful than others. The goal of lattice reduction is to find interesting lattice bases, such as bases consisting of reasonably s...

Contributor: The Pennsylvania State University CiteSeer Archives

Publisher: unknown

Date: 2000-05-06

Pubyear: 2000

Format: ps

Identifier: http://citeseer.ist.psu.edu/296791.html

Source: ftp://ftp.ens.fr/pub/dmi/users/pnguyen/ANTS4.ps.gz

Language: en

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Rights: unrestricted

Graph

<?xml   version="1.0"   encoding="UTF-8"?>

<references_metadata>

      <rec   ID="/65593.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="1294"   Title="On   the   Security   of   the   {KMOV}   Public   Key   Cryptosystem,">

            <identifier   Org="ISBN:038795273X"   Paper_ID="/65593.html"   Extracted="038795273X"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:0521653746"   Paper_ID="/65593.html"   Extracted="0521653746"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:0792377451"   Paper_ID="/65593.html"   Extracted="0792377451"   DDC="005.1/17"   Normalized_DDC="005117"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:082180832X"   Paper_ID="/65593.html"   Extracted="082180832X"   DDC="004.6"   Normalized_DDC="0046"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:0821839845"   Paper_ID="/65593.html"   Extracted="0821839845"   DDC="652/.8"   Normalized_DDC="6528"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540406743"   Paper_ID="/65593.html"   Extracted="3540406743"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540414045"   Paper_ID="/65593.html"   Extracted="3540414045"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540416587"   Paper_ID="/65593.html"   Extracted="3540416587"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/65593.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540645187"   Paper_ID="/65593.html"   Extracted="3540645187"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540650040"   Paper_ID="/65593.html"   Extracted="3540650040"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540658890"   Paper_ID="/65593.html"   Extracted="3540658890"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.08333333333333333"   />

      </rec>

      <rec   ID="/286760.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="1807"   Title="Noisy   Polynomial   Interpolation   and   Noisy   {Chinese}   Remaindering,">

            <identifier   Org="ISBN:038733405X"   Paper_ID="/286760.html"   Extracted="038733405X"   DDC="510"   Normalized_DDC="51"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0780375017"   Paper_ID="/286760.html"   Extracted="0780375017"   />

            <identifier   Org="ISBN:0821833650"   Paper_ID="/286760.html"   Extracted="0821833650"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0821839845"   Paper_ID="/286760.html"   Extracted="0821839845"   DDC="652/.8"   Normalized_DDC="6528"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:1581131844"   Paper_ID="/286760.html"   Extracted="1581131844"   />

            <identifier   Org="ISBN:1581133499"   Paper_ID="/286760.html"   Extracted="1581133499"   />

            <identifier   Org="ISBN:1581133855"   Paper_ID="/286760.html"   Extracted="1581133855"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:1581136749"   Paper_ID="/286760.html"   Extracted="1581136749"   />

            <identifier   Org="ISBN:1931971005"   Paper_ID="/286760.html"   Extracted="1931971005"   />

            <identifier   Org="ISBN:3540289631"   Paper_ID="/286760.html"   Extracted="3540289631"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540306846"   Paper_ID="/286760.html"   Extracted="3540306846"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540418989"   Paper_ID="/286760.html"   Extracted="3540418989"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540422870"   Paper_ID="/286760.html"   Extracted="3540422870"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/286760.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540430660"   Paper_ID="/286760.html"   Extracted="3540430660"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540434003"   Paper_ID="/286760.html"   Extracted="3540434003"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540438645"   Paper_ID="/286760.html"   Extracted="3540438645"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540675175"   Paper_ID="/286760.html"   Extracted="3540675175"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540759921"   Paper_ID="/286760.html"   Extracted="3540759921"   DDC="004.6"   Normalized_DDC="0046"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3642026192"   Paper_ID="/286760.html"   Extracted="3642026192"   />

      </rec>

      <rec   ID="/70784.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="1423"   Title="The   Decision   {Diffie-Hellman}   Problem,">

            <identifier   Org="ISBN:0387207562"   Paper_ID="/70784.html"   Extracted="0387207562"   DDC="003/.54"   Normalized_DDC="00354"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:038795273X"   Paper_ID="/70784.html"   Extracted="038795273X"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:052160415X"   Paper_ID="/70784.html"   Extracted="052160415X"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:0792373898"   Paper_ID="/70784.html"   Extracted="0792373898"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:0821821733"   Paper_ID="/70784.html"   Extracted="0821821733"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:1584883650"   Paper_ID="/70784.html"   Extracted="1584883650"   DDC="516.3/52"   Normalized_DDC="516352"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:1584885084"   Paper_ID="/70784.html"   Extracted="1584885084"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:1584885181"   Paper_ID="/70784.html"   Extracted="1584885181"   DDC="516.3/52"   Normalized_DDC="516352"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540201505"   Paper_ID="/70784.html"   Extracted="3540201505"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540243011"   Paper_ID="/70784.html"   Extracted="3540243011"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540406638"   Paper_ID="/70784.html"   Extracted="3540406638"   DDC="332.1/78"   Normalized_DDC="332178"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540416587"   Paper_ID="/70784.html"   Extracted="3540416587"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540418989"   Paper_ID="/70784.html"   Extracted="3540418989"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540420703"   Paper_ID="/70784.html"   Extracted="3540420703"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540423001"   Paper_ID="/70784.html"   Extracted="3540423001"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540424563"   Paper_ID="/70784.html"   Extracted="3540424563"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540438637"   Paper_ID="/70784.html"   Extracted="3540438637"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540492437"   Paper_ID="/70784.html"   Extracted="3540492437"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540646574"   Paper_ID="/70784.html"   Extracted="3540646574"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540772235"   Paper_ID="/70784.html"   Extracted="3540772235"   />

      </rec>

      <rec   ID="/542057.html"   Type="article"   CiteSeer_Book="Notices   of   the   American   Mathematical   Society   AMS"   CiteSeer_Volume="46"   Title="Twenty   years   of   attacks   on   the   {RSA}   cryptosystem,">

            <identifier   Org="ISBN:0131873164"   Paper_ID="/542057.html"   Extracted="0131873164"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:038723473X"   Paper_ID="/542057.html"   Extracted="038723473X"   DDC="652/.803"   Normalized_DDC="652803"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:0821833650"   Paper_ID="/542057.html"   Extracted="0821833650"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:0821839845"   Paper_ID="/542057.html"   Extracted="0821839845"   DDC="652/.8"   Normalized_DDC="6528"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:0849328241"   Paper_ID="/542057.html"   Extracted="0849328241"   DDC="004.16"   Normalized_DDC="00416"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:1402076495"   Paper_ID="/542057.html"   Extracted="1402076495"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:354000324X"   Paper_ID="/542057.html"   Extracted="354000324X"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:3540209964"   Paper_ID="/542057.html"   Extracted="3540209964"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:3540259996"   Paper_ID="/542057.html"   Extracted="3540259996"   DDC="006.33"   Normalized_DDC="00633"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:3540297707"   Paper_ID="/542057.html"   Extracted="3540297707"   DDC="004/.35"   Normalized_DDC="00435"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:3540414045"   Paper_ID="/542057.html"   Extracted="3540414045"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/542057.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:3540425217"   Paper_ID="/542057.html"   Extracted="3540425217"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:3540430725"   Paper_ID="/542057.html"   Extracted="3540430725"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:3540432248"   Paper_ID="/542057.html"   Extracted="3540432248"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:3540440798"   Paper_ID="/542057.html"   Extracted="3540440798"   DDC="332.1/0285"   Normalized_DDC="33210285"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:3540741429"   Paper_ID="/542057.html"   Extracted="3540741429"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:3540754954"   Paper_ID="/542057.html"   Extracted="3540754954"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05555555555555555"   />

            <identifier   Org="ISBN:3540791035"   Paper_ID="/542057.html"   Extracted="3540791035"   />

            <identifier   Org="ISBN:3642019560"   Paper_ID="/542057.html"   Extracted="3642019560"   />

      </rec>

      <rec   ID="/516393.html"   Type="inproceedings"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="Finding   smooth   integers   in   short   intervals   using   {CRT}   decoding,">

            <identifier   Org="ISBN:0769513905"   Paper_ID="/516393.html"   Extracted="0769513905"   />

            <identifier   Org="ISBN:0821839845"   Paper_ID="/516393.html"   Extracted="0821839845"   DDC="652/.8"   Normalized_DDC="6528"   Normalized_Weight="0.125"   />

            <identifier   Org="ISBN:1581131844"   Paper_ID="/516393.html"   Extracted="1581131844"   />

            <identifier   Org="ISBN:1581133499"   Paper_ID="/516393.html"   Extracted="1581133499"   />

            <identifier   Org="ISBN:1601980043"   Paper_ID="/516393.html"   Extracted="1601980043"   />

            <identifier   Org="ISBN:2856291562"   Paper_ID="/516393.html"   Extracted="2856291562"   />

            <identifier   Org="ISBN:3540240519"   Paper_ID="/516393.html"   Extracted="3540240519"   DDC="005.7/2"   Normalized_DDC="00572"   Normalized_Weight="0.125"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/516393.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.125"   />

            <identifier   Org="ISBN:3540427333"   Paper_ID="/516393.html"   Extracted="3540427333"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.125"   />

            <identifier   Org="ISBN:3540429115"   Paper_ID="/516393.html"   Extracted="3540429115"   DDC="005.7/2"   Normalized_DDC="00572"   Normalized_Weight="0.125"   />

            <identifier   Org="ISBN:3540675175"   Paper_ID="/516393.html"   Extracted="3540675175"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.125"   />

            <identifier   Org="ISBN:3540678239"   Paper_ID="/516393.html"   Extracted="3540678239"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.125"   />

            <identifier   Org="ISBN:3764366540"   Paper_ID="/516393.html"   Extracted="3764366540"   DDC="512/.73"   Normalized_DDC="51273"   Normalized_Weight="0.125"   />

      </rec>

      <rec   ID="/357439.html"   Type="article"   CiteSeer_Book="IEEETIT   IEEE   Transactions   on   Information   Theory"   CiteSeer_Volume="46"   Title="Cryptanalysis   of   {RSA}   with   Private   Key   d   Less   Than   {N}^{0.292},"   />

      <rec   ID="/135583.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="1403"   Title="Speeding   up   discrete   log   and   factoring   based   schemes   via   precomputations,">

            <identifier   Org="ISBN:0792356624"   Paper_ID="/135583.html"   Extracted="0792356624"   DDC="512/.3"   Normalized_DDC="5123"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3540206434"   Paper_ID="/135583.html"   Extracted="3540206434"   DDC="330/.01/519536"   Normalized_DDC="33001519536"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3540416587"   Paper_ID="/135583.html"   Extracted="3540416587"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/135583.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3540430660"   Paper_ID="/135583.html"   Extracted="3540430660"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3540645187"   Paper_ID="/135583.html"   Extracted="3540645187"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3540663479"   Paper_ID="/135583.html"   Extracted="3540663479"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3764365102"   Paper_ID="/135583.html"   Extracted="3764365102"   DDC="003/.54"   Normalized_DDC="00354"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3764366540"   Paper_ID="/135583.html"   Extracted="3764366540"   DDC="512/.73"   Normalized_DDC="51273"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3790811521"   Paper_ID="/135583.html"   Extracted="3790811521"   DDC="330/.01/5195"   Normalized_DDC="330015195"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:9812384502"   Paper_ID="/135583.html"   Extracted="9812384502"   />

      </rec>

      <rec   ID="/319188.html"   Type="article"   CiteSeer_Book="Electronic   Colloquium   on   Computational   Complexity   ECCC"   CiteSeer_Volume="6"   Title="Some   Recent   Progress   on   the   Complexity   of   Lattice   Problems,">

            <identifier   Org="ISBN:0780356853"   Paper_ID="/319188.html"   Extracted="0780356853"   />

            <identifier   Org="ISBN:3540001425"   Paper_ID="/319188.html"   Extracted="3540001425"   DDC="004.015118"   Normalized_DDC="004015118"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540221476"   Paper_ID="/319188.html"   Extracted="3540221476"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/319188.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540662243"   Paper_ID="/319188.html"   Extracted="3540662243"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540673067"   Paper_ID="/319188.html"   Extracted="3540673067"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540677151"   Paper_ID="/319188.html"   Extracted="3540677151"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:354078439X"   Paper_ID="/319188.html"   Extracted="354078439X"   />

            <identifier   Org="ISBN:3540797440"   Paper_ID="/319188.html"   Extracted="3540797440"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.14285714285714285"   />

      </rec>

      <rec   ID="/202891.html"   Type="inproceedings"   CiteSeer_Book="IEEE   Symposium   on   Foundations   of   Computer   Science"   CiteSeer_Volume=""   Title="An   Improved   Worst-Case   to   Average-Case   Connection   for   Lattice   Problems,">

            <identifier   Org="ISBN:0769513905"   Paper_ID="/202891.html"   Extracted="0769513905"   />

            <identifier   Org="ISBN:0769514685"   Paper_ID="/202891.html"   Extracted="0769514685"   />

            <identifier   Org="ISBN:0780356853"   Paper_ID="/202891.html"   Extracted="0780356853"   />

            <identifier   Org="ISBN:0780399269"   Paper_ID="/202891.html"   Extracted="0780399269"   />

            <identifier   Org="ISBN:0818681985"   Paper_ID="/202891.html"   Extracted="0818681985"   />

            <identifier   Org="ISBN:0818683961"   Paper_ID="/202891.html"   Extracted="0818683961"   />

            <identifier   Org="ISBN:0898714907"   Paper_ID="/202891.html"   Extracted="0898714907"   />

            <identifier   Org="ISBN:1581136749"   Paper_ID="/202891.html"   Extracted="1581136749"   />

            <identifier   Org="ISBN:1581139608"   Paper_ID="/202891.html"   Extracted="1581139608"   />

            <identifier   Org="ISBN:3540001425"   Paper_ID="/202891.html"   Extracted="3540001425"   DDC="004.015118"   Normalized_DDC="004015118"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540327312"   Paper_ID="/202891.html"   Extracted="3540327312"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540634371"   Paper_ID="/202891.html"   Extracted="3540634371"   DDC="004.0151"   Normalized_DDC="0040151"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540646930"   Paper_ID="/202891.html"   Extracted="3540646930"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540648925"   Paper_ID="/202891.html"   Extracted="3540648925"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540658947"   Paper_ID="/202891.html"   Extracted="3540658947"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540662006"   Paper_ID="/202891.html"   Extracted="3540662006"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540662243"   Paper_ID="/202891.html"   Extracted="3540662243"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540663479"   Paper_ID="/202891.html"   Extracted="3540663479"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540710388"   Paper_ID="/202891.html"   Extracted="3540710388"   />

            <identifier   Org="ISBN:3540884025"   Paper_ID="/202891.html"   Extracted="3540884025"   />

      </rec>

      <rec   ID="/450929.html"   Type="inproceedings"   CiteSeer_Book="CRYPTO"   CiteSeer_Volume=""   Title="A   Knapsack   Type   Public   Key   Cryptosystem   Based   On   Arithmetic   in   Finite   Fields,">

            <identifier   Org="ISBN:038723473X"   Paper_ID="/450929.html"   Extracted="038723473X"   DDC="652/.803"   Normalized_DDC="652803"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0387942939"   Paper_ID="/450929.html"   Extracted="0387942939"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0444880712"   Paper_ID="/450929.html"   Extracted="0444880712"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0471947830"   Paper_ID="/450929.html"   Extracted="0471947830"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0792320573"   Paper_ID="/450929.html"   Extracted="0792320573"   DDC="512/.74"   Normalized_DDC="51274"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0792392825"   Paper_ID="/450929.html"   Extracted="0792392825"   DDC="003.54"   Normalized_DDC="00354"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0821801554"   Paper_ID="/450929.html"   Extracted="0821801554"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0821851837"   Paper_ID="/450929.html"   Extracted="0821851837"   DDC="512/.3"   Normalized_DDC="5123"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0849385237"   Paper_ID="/450929.html"   Extracted="0849385237"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:089871219X"   Paper_ID="/450929.html"   Extracted="089871219X"   DDC="510"   Normalized_DDC="51"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:1584881275"   Paper_ID="/450929.html"   Extracted="1584881275"   DDC="003/.54"   Normalized_DDC="00354"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:1584884703"   Paper_ID="/450929.html"   Extracted="1584884703"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540156585"   Paper_ID="/450929.html"   Extracted="3540156585"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540601767"   Paper_ID="/450929.html"   Extracted="3540601767"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540618724"   Paper_ID="/450929.html"   Extracted="3540618724"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540648925"   Paper_ID="/450929.html"   Extracted="3540648925"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540679073"   Paper_ID="/450929.html"   Extracted="3540679073"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540694986"   Paper_ID="/450929.html"   Extracted="3540694986"   />

            <identifier   Org="ISBN:3642019560"   Paper_ID="/450929.html"   Extracted="3642019560"   />

      </rec>

      <rec   ID="/432464.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="547"   Title="An   Improved   Low-Density   Subset   Sum   Algorithm,">

            <identifier   Org="ISBN:0780372824"   Paper_ID="/432464.html"   Extracted="0780372824"   />

            <identifier   Org="ISBN:0792347099"   Paper_ID="/432464.html"   Extracted="0792347099"   DDC="510/.3"   Normalized_DDC="5103"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:0821851837"   Paper_ID="/432464.html"   Extracted="0821851837"   DDC="512/.3"   Normalized_DDC="5123"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:0821865978"   Paper_ID="/432464.html"   Extracted="0821865978"   DDC="511.3"   Normalized_DDC="5113"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:0849385237"   Paper_ID="/432464.html"   Extracted="0849385237"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:0849389488"   Paper_ID="/432464.html"   Extracted="0849389488"   DDC="511/.6"   Normalized_DDC="5116"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:1584883472"   Paper_ID="/432464.html"   Extracted="1584883472"   DDC="510/.3"   Normalized_DDC="5103"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540441395"   Paper_ID="/432464.html"   Extracted="3540441395"   DDC="004/.35"   Normalized_DDC="00435"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540544585"   Paper_ID="/432464.html"   Extracted="3540544585"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540583254"   Paper_ID="/432464.html"   Extracted="3540583254"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540601147"   Paper_ID="/432464.html"   Extracted="3540601147"   DDC="005.7/2"   Normalized_DDC="00572"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540601767"   Paper_ID="/432464.html"   Extracted="3540601767"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540646574"   Paper_ID="/432464.html"   Extracted="3540646574"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540751866"   Paper_ID="/432464.html"   Extracted="3540751866"   />

            <identifier   Org="ISBN:3642019560"   Paper_ID="/432464.html"   Extracted="3642019560"   />

      </rec>

      <rec   ID="/340126.html"   Type="article"   CiteSeer_Book="IEEE   Transactions   on   Information   Theory"   CiteSeer_Volume="IT22"   Title="New   Directions   in   Cryptography,">

            <identifier   Org="ISBN:0060935588"   Paper_ID="/340126.html"   Extracted="0060935588"   DDC="512/.72"   Normalized_DDC="51272"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0262042401"   Paper_ID="/340126.html"   Extracted="0262042401"   DDC="342.7308/58"   Normalized_DDC="342730858"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0521035368"   Paper_ID="/340126.html"   Extracted="0521035368"   />

            <identifier   Org="ISBN:0521398770"   Paper_ID="/340126.html"   Extracted="0521398770"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0821829866"   Paper_ID="/340126.html"   Extracted="0821829866"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0821840371"   Paper_ID="/340126.html"   Extracted="0821840371"   DDC="652/.8"   Normalized_DDC="6528"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0849382319"   Paper_ID="/340126.html"   Extracted="0849382319"   DDC="004.6"   Normalized_DDC="0046"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0849385237"   Paper_ID="/340126.html"   Extracted="0849385237"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:1402081405"   Paper_ID="/340126.html"   Extracted="1402081405"   DDC="004.01"   Normalized_DDC="00401"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:1565123778"   Paper_ID="/340126.html"   Extracted="1565123778"   DDC="510/.92"   Normalized_DDC="51092"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:157870166X"   Paper_ID="/340126.html"   Extracted="157870166X"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540009124"   Paper_ID="/340126.html"   Extracted="3540009124"   DDC="004/.36"   Normalized_DDC="00436"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540213708"   Paper_ID="/340126.html"   Extracted="3540213708"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540262237"   Paper_ID="/340126.html"   Extracted="3540262237"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:354042069X"   Paper_ID="/340126.html"   Extracted="354042069X"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540430660"   Paper_ID="/340126.html"   Extracted="3540430660"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540633847"   Paper_ID="/340126.html"   Extracted="3540633847"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540669671"   Paper_ID="/340126.html"   Extracted="3540669671"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

      </rec>

      <rec   ID="/360648.html"   Type="inproceedings"   CiteSeer_Book="IEEE   Symposium   on   Foundations   of   Computer   Science"   CiteSeer_Volume=""   Title="Approximating-{CVP}   to   Within   Almost-Polynomial   Factors   is   {NP}-Hard,">

            <identifier   Org="ISBN:038723473X"   Paper_ID="/360648.html"   Extracted="038723473X"   DDC="652/.803"   Normalized_DDC="652803"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:0769506755"   Paper_ID="/360648.html"   Extracted="0769506755"   />

            <identifier   Org="ISBN:0769513905"   Paper_ID="/360648.html"   Extracted="0769513905"   />

            <identifier   Org="ISBN:0780356853"   Paper_ID="/360648.html"   Extracted="0780356853"   />

            <identifier   Org="ISBN:0792376889"   Paper_ID="/360648.html"   Extracted="0792376889"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:1581130678"   Paper_ID="/360648.html"   Extracted="1581130678"   />

            <identifier   Org="ISBN:1595936319"   Paper_ID="/360648.html"   Extracted="1595936319"   />

            <identifier   Org="ISBN:3540140395"   Paper_ID="/360648.html"   Extracted="3540140395"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540327312"   Paper_ID="/360648.html"   Extracted="3540327312"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540424873"   Paper_ID="/360648.html"   Extracted="3540424873"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/360648.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540438645"   Paper_ID="/360648.html"   Extracted="3540438645"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540662006"   Paper_ID="/360648.html"   Extracted="3540662006"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540663479"   Paper_ID="/360648.html"   Extracted="3540663479"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540671595"   Paper_ID="/360648.html"   Extracted="3540671595"   DDC="511.8"   Normalized_DDC="5118"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540677151"   Paper_ID="/360648.html"   Extracted="3540677151"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540677429"   Paper_ID="/360648.html"   Extracted="3540677429"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540887016"   Paper_ID="/360648.html"   Extracted="3540887016"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07692307692307693"   />

      </rec>

      <rec   ID="/320790.html"   Type="inproceedings"   CiteSeer_Book="IMA   IMA   Conference   on   Cryptography   and   Coding   LNCS   lately   earlier   Cryptography   and   Coding   II   Edited   by   Chris   Mitchell   Clarendon   Press   1992"   CiteSeer_Volume=""   Title="Tensor-Based   Trapdoors   for   {CVP}   and   Their   Application   to   Public   Key   Cryptography,">

            <identifier   Org="ISBN:0792376889"   Paper_ID="/320790.html"   Extracted="0792376889"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.2"   />

            <identifier   Org="ISBN:0821827375"   Paper_ID="/320790.html"   Extracted="0821827375"   DDC="532/.0527/01515353"   Normalized_DDC="532052701515353"   Normalized_Weight="0.2"   />

            <identifier   Org="ISBN:082183407X"   Paper_ID="/320790.html"   Extracted="082183407X"   DDC="621.382/2"   Normalized_DDC="6213822"   Normalized_Weight="0.2"   />

            <identifier   Org="ISBN:1581134177"   Paper_ID="/320790.html"   Extracted="1581134177"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/320790.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.2"   />

            <identifier   Org="ISBN:354066887X"   Paper_ID="/320790.html"   Extracted="354066887X"   DDC="003/.54"   Normalized_DDC="00354"   Normalized_Weight="0.2"   />

            <identifier   Org="ISBN:3642019560"   Paper_ID="/320790.html"   Extracted="3642019560"   />

            <identifier   Org="ISBN:4431712275"   Paper_ID="/320790.html"   Extracted="4431712275"   />

      </rec>

      <rec   ID="/246884.html"   Type="inproceedings"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="On   the   limits   of   non-approximability   of   lattice   problems,">

            <identifier   Org="ISBN:0769513905"   Paper_ID="/246884.html"   Extracted="0769513905"   />

            <identifier   Org="ISBN:0769514685"   Paper_ID="/246884.html"   Extracted="0769514685"   />

            <identifier   Org="ISBN:0769518796"   Paper_ID="/246884.html"   Extracted="0769518796"   />

            <identifier   Org="ISBN:0780356853"   Paper_ID="/246884.html"   Extracted="0780356853"   />

            <identifier   Org="ISBN:0792356624"   Paper_ID="/246884.html"   Extracted="0792356624"   DDC="512/.3"   Normalized_DDC="5123"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:0818683961"   Paper_ID="/246884.html"   Extracted="0818683961"   />

            <identifier   Org="ISBN:082183584X"   Paper_ID="/246884.html"   Extracted="082183584X"   DDC="519.6"   Normalized_DDC="5196"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:1581136749"   Paper_ID="/246884.html"   Extracted="1581136749"   />

            <identifier   Org="ISBN:3540328807"   Paper_ID="/246884.html"   Extracted="3540328807"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/246884.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540646930"   Paper_ID="/246884.html"   Extracted="3540646930"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540648925"   Paper_ID="/246884.html"   Extracted="3540648925"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540658947"   Paper_ID="/246884.html"   Extracted="3540658947"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540662006"   Paper_ID="/246884.html"   Extracted="3540662006"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540663479"   Paper_ID="/246884.html"   Extracted="3540663479"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540664084"   Paper_ID="/246884.html"   Extracted="3540664084"   DDC="001.64"   Normalized_DDC="00164"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540677151"   Paper_ID="/246884.html"   Extracted="3540677151"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540770496"   Paper_ID="/246884.html"   Extracted="3540770496"   />

            <identifier   Org="ISBN:354078439X"   Paper_ID="/246884.html"   Extracted="354078439X"   />

      </rec>

      <rec   ID="/23386.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="1294"   Title="Eliminating   Decryption   Errors   in   the   {Ajtai-Dwork}   Cryptosystem,">

            <identifier   Org="ISBN:0780356853"   Paper_ID="/23386.html"   Extracted="0780356853"   />

            <identifier   Org="ISBN:0792376862"   Paper_ID="/23386.html"   Extracted="0792376862"   DDC="005.7/2"   Normalized_DDC="00572"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:0792376889"   Paper_ID="/23386.html"   Extracted="0792376889"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:1581134959"   Paper_ID="/23386.html"   Extracted="1581134959"   />

            <identifier   Org="ISBN:1581136749"   Paper_ID="/23386.html"   Extracted="1581136749"   />

            <identifier   Org="ISBN:1581139608"   Paper_ID="/23386.html"   Extracted="1581139608"   />

            <identifier   Org="ISBN:3540206434"   Paper_ID="/23386.html"   Extracted="3540206434"   DDC="330/.01/519536"   Normalized_DDC="33001519536"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540219358"   Paper_ID="/23386.html"   Extracted="3540219358"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540314237"   Paper_ID="/23386.html"   Extracted="3540314237"   DDC="005.72"   Normalized_DDC="00572"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/23386.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540633847"   Paper_ID="/23386.html"   Extracted="3540633847"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540648925"   Paper_ID="/23386.html"   Extracted="3540648925"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540662006"   Paper_ID="/23386.html"   Extracted="3540662006"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540662243"   Paper_ID="/23386.html"   Extracted="3540662243"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540716769"   Paper_ID="/23386.html"   Extracted="3540716769"   />

            <identifier   Org="ISBN:3540887016"   Paper_ID="/23386.html"   Extracted="3540887016"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3642019560"   Paper_ID="/23386.html"   Extracted="3642019560"   />

      </rec>

      <rec   ID="/525227.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="1294"   Title="Public-Key   Cryptosystems   from   Lattice   Reduction   Problems,">

            <identifier   Org="ISBN:1581136749"   Paper_ID="/525227.html"   Extracted="1581136749"   />

            <identifier   Org="ISBN:354000324X"   Paper_ID="/525227.html"   Extracted="354000324X"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540006230"   Paper_ID="/525227.html"   Extracted="3540006230"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540206957"   Paper_ID="/525227.html"   Extracted="3540206957"   DDC="004.015181"   Normalized_DDC="004015181"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540406743"   Paper_ID="/525227.html"   Extracted="3540406743"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540423001"   Paper_ID="/525227.html"   Extracted="3540423001"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/525227.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540425128"   Paper_ID="/525227.html"   Extracted="3540425128"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540646574"   Paper_ID="/525227.html"   Extracted="3540646574"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540658947"   Paper_ID="/525227.html"   Extracted="3540658947"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540662006"   Paper_ID="/525227.html"   Extracted="3540662006"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540662243"   Paper_ID="/525227.html"   Extracted="3540662243"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540663479"   Paper_ID="/525227.html"   Extracted="3540663479"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:354066887X"   Paper_ID="/525227.html"   Extracted="354066887X"   DDC="003/.54"   Normalized_DDC="00354"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540716769"   Paper_ID="/525227.html"   Extracted="3540716769"   />

            <identifier   Org="ISBN:354074455X"   Paper_ID="/525227.html"   Extracted="354074455X"   />

            <identifier   Org="ISBN:3540789669"   Paper_ID="/525227.html"   Extracted="3540789669"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540887016"   Paper_ID="/525227.html"   Extracted="3540887016"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.06666666666666667"   />

      </rec>

      <rec   ID="/468336.html"   Type="article"   CiteSeer_Book="Information   Processing   Letters"   CiteSeer_Volume="71"   Title="Approximating   shortest   lattice   vectors   is   not   harder   than   approximating   closest   lattice   vectors,">

            <identifier   Org="ISBN:038723473X"   Paper_ID="/468336.html"   Extracted="038723473X"   DDC="652/.803"   Normalized_DDC="652803"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:0387779930"   Paper_ID="/468336.html"   Extracted="0387779930"   DDC="652.80151"   Normalized_DDC="65280151"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:0769513905"   Paper_ID="/468336.html"   Extracted="0769513905"   />

            <identifier   Org="ISBN:0769514685"   Paper_ID="/468336.html"   Extracted="0769514685"   />

            <identifier   Org="ISBN:0769521207"   Paper_ID="/468336.html"   Extracted="0769521207"   />

            <identifier   Org="ISBN:0780356853"   Paper_ID="/468336.html"   Extracted="0780356853"   />

            <identifier   Org="ISBN:0792356624"   Paper_ID="/468336.html"   Extracted="0792356624"   DDC="512/.3"   Normalized_DDC="5123"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:0792376889"   Paper_ID="/468336.html"   Extracted="0792376889"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:0821827375"   Paper_ID="/468336.html"   Extracted="0821827375"   DDC="532/.0527/01515353"   Normalized_DDC="532052701515353"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:0821839845"   Paper_ID="/468336.html"   Extracted="0821839845"   DDC="652/.8"   Normalized_DDC="6528"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:1581130678"   Paper_ID="/468336.html"   Extracted="1581130678"   />

            <identifier   Org="ISBN:3540140395"   Paper_ID="/468336.html"   Extracted="3540140395"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540406743"   Paper_ID="/468336.html"   Extracted="3540406743"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/468336.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540653678"   Paper_ID="/468336.html"   Extracted="3540653678"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540663479"   Paper_ID="/468336.html"   Extracted="3540663479"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:354078439X"   Paper_ID="/468336.html"   Extracted="354078439X"   />

            <identifier   Org="ISBN:4431712275"   Paper_ID="/468336.html"   Extracted="4431712275"   />

            <identifier   Org="ISBN:8020006338"   Paper_ID="/468336.html"   Extracted="8020006338"   />

      </rec>

      <rec   ID="/217791.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="1423"   Title="{NTRU}:   {A}   Ring-Based   Public   Key   Cryptosystem,">

            <identifier   Org="ISBN:038723473X"   Paper_ID="/217791.html"   Extracted="038723473X"   DDC="652/.803"   Normalized_DDC="652803"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:0821833650"   Paper_ID="/217791.html"   Extracted="0821833650"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:0849380367"   Paper_ID="/217791.html"   Extracted="0849380367"   DDC="621.384"   Normalized_DDC="621384"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:1586038133"   Paper_ID="/217791.html"   Extracted="1586038133"   DDC="681/.2"   Normalized_DDC="6812"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:354000324X"   Paper_ID="/217791.html"   Extracted="354000324X"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540405151"   Paper_ID="/217791.html"   Extracted="3540405151"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540406743"   Paper_ID="/217791.html"   Extracted="3540406743"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540417826"   Paper_ID="/217791.html"   Extracted="3540417826"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540418989"   Paper_ID="/217791.html"   Extracted="3540418989"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/217791.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540646574"   Paper_ID="/217791.html"   Extracted="3540646574"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540697322"   Paper_ID="/217791.html"   Extracted="3540697322"   />

            <identifier   Org="ISBN:3540716408"   Paper_ID="/217791.html"   Extracted="3540716408"   DDC="658.787"   Normalized_DDC="658787"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540716769"   Paper_ID="/217791.html"   Extracted="3540716769"   />

            <identifier   Org="ISBN:3540855033"   Paper_ID="/217791.html"   Extracted="3540855033"   />

            <identifier   Org="ISBN:3540883525"   Paper_ID="/217791.html"   Extracted="3540883525"   />

            <identifier   Org="ISBN:3540887016"   Paper_ID="/217791.html"   Extracted="3540887016"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3642019560"   Paper_ID="/217791.html"   Extracted="3642019560"   />

            <identifier   Org="ISBN:3642023835"   Paper_ID="/217791.html"   Extracted="3642023835"   />

            <identifier   Org="ISBN:9812384502"   Paper_ID="/217791.html"   Extracted="9812384502"   />

      </rec>

      <rec   ID="/554695.html"   Type="article"   CiteSeer_Book="Journal   of   Cryptology   the   journal   of   the   International   Association   for   Cryptologic   Research"   CiteSeer_Volume="11"   Title="Lattice   Reduction:   {A}   Toolbox   for   the   Cryptanalyst,">

            <identifier   Org="ISBN:0387301623"   Paper_ID="/554695.html"   Extracted="0387301623"   DDC="518.103"   Normalized_DDC="518103"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:0792356624"   Paper_ID="/554695.html"   Extracted="0792356624"   DDC="512/.3"   Normalized_DDC="5123"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:0821833650"   Paper_ID="/554695.html"   Extracted="0821833650"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:0821833871"   Paper_ID="/554695.html"   Extracted="0821833871"   DDC="512/.72"   Normalized_DDC="51272"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540206639"   Paper_ID="/554695.html"   Extracted="3540206639"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540219358"   Paper_ID="/554695.html"   Extracted="3540219358"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540265473"   Paper_ID="/554695.html"   Extracted="3540265473"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540308059"   Paper_ID="/554695.html"   Extracted="3540308059"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/554695.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540425128"   Paper_ID="/554695.html"   Extracted="3540425128"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540438637"   Paper_ID="/554695.html"   Extracted="3540438637"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540594094"   Paper_ID="/554695.html"   Extracted="3540594094"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540601767"   Paper_ID="/554695.html"   Extracted="3540601767"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540618724"   Paper_ID="/554695.html"   Extracted="3540618724"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540633847"   Paper_ID="/554695.html"   Extracted="3540633847"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540648925"   Paper_ID="/554695.html"   Extracted="3540648925"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540675175"   Paper_ID="/554695.html"   Extracted="3540675175"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:3540892540"   Paper_ID="/554695.html"   Extracted="3540892540"   />

            <identifier   Org="ISBN:8479786507"   Paper_ID="/554695.html"   Extracted="8479786507"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.05263157894736842"   />

            <identifier   Org="ISBN:9812793429"   Paper_ID="/554695.html"   Extracted="9812793429"   DDC="516.3/5"   Normalized_DDC="51635"   Normalized_Weight="0.05263157894736842"   />

      </rec>

      <rec   ID="/274021.html"   Type="inproceedings"   CiteSeer_Book="Symposium   on   Discrete   Algorithms"   CiteSeer_Volume=""   Title="Finding   the   closest   lattice   vector   when   it's   unusually   close,">

            <identifier   Org="ISBN:0769514685"   Paper_ID="/274021.html"   Extracted="0769514685"   />

            <identifier   Org="ISBN:0792376889"   Paper_ID="/274021.html"   Extracted="0792376889"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.16666666666666666"   />

            <identifier   Org="ISBN:0821840908"   Paper_ID="/274021.html"   Extracted="0821840908"   DDC="512.7"   Normalized_DDC="5127"   Normalized_Weight="0.16666666666666666"   />

            <identifier   Org="ISBN:1581133499"   Paper_ID="/274021.html"   Extracted="1581133499"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/274021.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.16666666666666666"   />

            <identifier   Org="ISBN:3540741429"   Paper_ID="/274021.html"   Extracted="3540741429"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.16666666666666666"   />

            <identifier   Org="ISBN:3540789669"   Paper_ID="/274021.html"   Extracted="3540789669"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.16666666666666666"   />

            <identifier   Org="ISBN:3540887016"   Paper_ID="/274021.html"   Extracted="3540887016"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.16666666666666666"   />

            <identifier   Org="ISBN:4431712275"   Paper_ID="/274021.html"   Extracted="4431712275"   />

      </rec>

      <rec   ID="/111900.html"   Type="misc"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="Lattice   points   in   high-dimensional   spheres,">

            <identifier   Org="ISBN:0387985859"   Paper_ID="/111900.html"   Extracted="0387985859"   DDC="511/.6"   Normalized_DDC="5116"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:0521898064"   Paper_ID="/111900.html"   Extracted="0521898064"   DDC="511.6"   Normalized_DDC="5116"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:0818645083"   Paper_ID="/111900.html"   Extracted="0818645083"   />

            <identifier   Org="ISBN:0821866036"   Paper_ID="/111900.html"   Extracted="0821866036"   DDC="621.382"   Normalized_DDC="621382"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:0897911512"   Paper_ID="/111900.html"   Extracted="0897911512"   />

            <identifier   Org="ISBN:1581132034"   Paper_ID="/111900.html"   Extracted="1581132034"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540306846"   Paper_ID="/111900.html"   Extracted="3540306846"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/111900.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540544585"   Paper_ID="/111900.html"   Extracted="3540544585"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540546200"   Paper_ID="/111900.html"   Extracted="3540546200"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540594094"   Paper_ID="/111900.html"   Extracted="3540594094"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:354066887X"   Paper_ID="/111900.html"   Extracted="354066887X"   DDC="003/.54"   Normalized_DDC="00354"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540675175"   Paper_ID="/111900.html"   Extracted="3540675175"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540681590"   Paper_ID="/111900.html"   Extracted="3540681590"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07692307692307693"   />

            <identifier   Org="ISBN:3540741429"   Paper_ID="/111900.html"   Extracted="3540741429"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07692307692307693"   />

      </rec>

      <rec   ID="/261089.html"   Type="misc"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="Lattice   based   cryptography:   A   global   improvement,">

            <identifier   Org="ISBN:3540424881"   Paper_ID="/261089.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="1.0"   />

      </rec>

      <rec   ID="/350380.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="1423"   Title="A   {Montgomery}-Like   Square   Root   for   the   Number   Field   Sieve,">

            <identifier   Org="ISBN:0387252827"   Paper_ID="/350380.html"   Extracted="0387252827"   DDC="512.7/23"   Normalized_DDC="512723"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:0792356624"   Paper_ID="/350380.html"   Extracted="0792356624"   DDC="512/.3"   Normalized_DDC="5123"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:0821827375"   Paper_ID="/350380.html"   Extracted="0821827375"   DDC="532/.0527/01515353"   Normalized_DDC="532052701515353"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:0821840908"   Paper_ID="/350380.html"   Extracted="0821840908"   DDC="512.7"   Normalized_DDC="5127"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:1584885181"   Paper_ID="/350380.html"   Extracted="1584885181"   DDC="516.3/52"   Normalized_DDC="516352"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:1852332948"   Paper_ID="/350380.html"   Extracted="1852332948"   DDC="363.7/007/27"   Normalized_DDC="363700727"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/350380.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540646574"   Paper_ID="/350380.html"   Extracted="3540646574"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540747346"   Paper_ID="/350380.html"   Extracted="3540747346"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540768998"   Paper_ID="/350380.html"   Extracted="3540768998"   />

      </rec>

      <rec   ID="/225458.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="1666"   Title="Cryptanalysis   of   the   {Goldreich-Goldwasser-Halevi}   Cryptosystem   from   {Crypto   '97},">

            <identifier   Org="ISBN:0387779930"   Paper_ID="/225458.html"   Extracted="0387779930"   DDC="652.80151"   Normalized_DDC="65280151"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0792376889"   Paper_ID="/225458.html"   Extracted="0792376889"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0821839845"   Paper_ID="/225458.html"   Extracted="0821839845"   DDC="652/.8"   Normalized_DDC="6528"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0821840908"   Paper_ID="/225458.html"   Extracted="0821840908"   DDC="512.7"   Normalized_DDC="5127"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540008470"   Paper_ID="/225458.html"   Extracted="3540008470"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540140395"   Paper_ID="/225458.html"   Extracted="3540140395"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540259104"   Paper_ID="/225458.html"   Extracted="3540259104"   />

            <identifier   Org="ISBN:3540306846"   Paper_ID="/225458.html"   Extracted="3540306846"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540314237"   Paper_ID="/225458.html"   Extracted="3540314237"   DDC="005.72"   Normalized_DDC="00572"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540423001"   Paper_ID="/225458.html"   Extracted="3540423001"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/225458.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540425128"   Paper_ID="/225458.html"   Extracted="3540425128"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540663479"   Paper_ID="/225458.html"   Extracted="3540663479"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540716769"   Paper_ID="/225458.html"   Extracted="3540716769"   />

            <identifier   Org="ISBN:3540741429"   Paper_ID="/225458.html"   Extracted="3540741429"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540751866"   Paper_ID="/225458.html"   Extracted="3540751866"   />

            <identifier   Org="ISBN:3764365102"   Paper_ID="/225458.html"   Extracted="3764365102"   DDC="003/.54"   Normalized_DDC="00354"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:4431712275"   Paper_ID="/225458.html"   Extracted="4431712275"   />

      </rec>

      <rec   ID="/98697.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="1294"   Title="{Merkle-Hellman}   Revisited:   {A}   Cryptanalysis   of   the   {Qu-Vanstone}   Cryptosystem   Based   on   Group   Factorizations,">

            <identifier   Org="ISBN:3540424881"   Paper_ID="/98697.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540633847"   Paper_ID="/98697.html"   Extracted="3540633847"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540648925"   Paper_ID="/98697.html"   Extracted="3540648925"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540658947"   Paper_ID="/98697.html"   Extracted="3540658947"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540663479"   Paper_ID="/98697.html"   Extracted="3540663479"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540666664"   Paper_ID="/98697.html"   Extracted="3540666664"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540675175"   Paper_ID="/98697.html"   Extracted="3540675175"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.14285714285714285"   />

      </rec>

      <rec   ID="/82636.html"   Type="inproceedings"   CiteSeer_Book="Selected   Areas   in   Cryptography"   CiteSeer_Volume=""   Title="Cryptanalysis   of   a   Fast   Public   Key   Cryptosystem   Presented   at   {SAC}   '97,">

            <identifier   Org="ISBN:3540423001"   Paper_ID="/82636.html"   Extracted="3540423001"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.2"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/82636.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.2"   />

            <identifier   Org="ISBN:3540425128"   Paper_ID="/82636.html"   Extracted="3540425128"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.2"   />

            <identifier   Org="ISBN:3540658947"   Paper_ID="/82636.html"   Extracted="3540658947"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.2"   />

            <identifier   Org="ISBN:3540663479"   Paper_ID="/82636.html"   Extracted="3540663479"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.2"   />

      </rec>

      <rec   ID="/145183.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="1462"   Title="Cryptanalysis   of   the   {Ajtai-Dwork}   Cryptosystem,">

            <identifier   Org="ISBN:0387779930"   Paper_ID="/145183.html"   Extracted="0387779930"   DDC="652.80151"   Normalized_DDC="65280151"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0792356624"   Paper_ID="/145183.html"   Extracted="0792356624"   DDC="512/.3"   Normalized_DDC="5123"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0792376889"   Paper_ID="/145183.html"   Extracted="0792376889"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540206434"   Paper_ID="/145183.html"   Extracted="3540206434"   DDC="330/.01/519536"   Normalized_DDC="33001519536"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540259104"   Paper_ID="/145183.html"   Extracted="3540259104"   />

            <identifier   Org="ISBN:3540281037"   Paper_ID="/145183.html"   Extracted="3540281037"   DDC="005.8068"   Normalized_DDC="0058068"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540416358"   Paper_ID="/145183.html"   Extracted="3540416358"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540423001"   Paper_ID="/145183.html"   Extracted="3540423001"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/145183.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540648925"   Paper_ID="/145183.html"   Extracted="3540648925"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540658890"   Paper_ID="/145183.html"   Extracted="3540658890"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540658947"   Paper_ID="/145183.html"   Extracted="3540658947"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540663479"   Paper_ID="/145183.html"   Extracted="3540663479"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540716769"   Paper_ID="/145183.html"   Extracted="3540716769"   />

            <identifier   Org="ISBN:3540741429"   Paper_ID="/145183.html"   Extracted="3540741429"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540887016"   Paper_ID="/145183.html"   Extracted="3540887016"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3642019560"   Paper_ID="/145183.html"   Extracted="3642019560"   />

            <identifier   Org="ISBN:4431712275"   Paper_ID="/145183.html"   Extracted="4431712275"   />

      </rec>

      <rec   ID="/164360.html"   Type="misc"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="The   B'eguin-Quisquater   server-aided   RSA   protocol   from   Crypto   '95   is   not   secure,">

            <identifier   Org="ISBN:3540007164"   Paper_ID="/164360.html"   Extracted="3540007164"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="1.0"   />

      </rec>

      <rec   ID="/223484.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="1666"   Title="The   Hardness   of   the   Hidden   Subset   Sum   Problem   and   Its   Cryptographic   Implications,">

            <identifier   Org="ISBN:3540416587"   Paper_ID="/223484.html"   Extracted="3540416587"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.16666666666666666"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/223484.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.16666666666666666"   />

            <identifier   Org="ISBN:3540430660"   Paper_ID="/223484.html"   Extracted="3540430660"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.16666666666666666"   />

            <identifier   Org="ISBN:3540663479"   Paper_ID="/223484.html"   Extracted="3540663479"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.16666666666666666"   />

            <identifier   Org="ISBN:3764365102"   Paper_ID="/223484.html"   Extracted="3764365102"   DDC="003/.54"   Normalized_DDC="00354"   Normalized_Weight="0.16666666666666666"   />

            <identifier   Org="ISBN:3764366540"   Paper_ID="/223484.html"   Extracted="3764366540"   DDC="512/.73"   Normalized_DDC="51273"   Normalized_Weight="0.16666666666666666"   />

      </rec>

      <rec   ID="/4195.html"   Type="inproceedings"   CiteSeer_Book="PSAM   Proceedings   of   the   42th   Symposium   in   Applied   Mathematics   American   Mathematical   Society"   CiteSeer_Volume=""   Title="The   Rise   and   Fall   of   Knapsack   Cryptosystems,">

            <identifier   Org="ISBN:0387942939"   Paper_ID="/4195.html"   Extracted="0387942939"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0471738484"   Paper_ID="/4195.html"   Extracted="0471738484"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0769514685"   Paper_ID="/4195.html"   Extracted="0769514685"   />

            <identifier   Org="ISBN:0780378040"   Paper_ID="/4195.html"   Extracted="0780378040"   />

            <identifier   Org="ISBN:0821801554"   Paper_ID="/4195.html"   Extracted="0821801554"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540230971"   Paper_ID="/4195.html"   Extracted="3540230971"   DDC="006.3"   Normalized_DDC="0063"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540306846"   Paper_ID="/4195.html"   Extracted="3540306846"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540544585"   Paper_ID="/4195.html"   Extracted="3540544585"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540601767"   Paper_ID="/4195.html"   Extracted="3540601767"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540654747"   Paper_ID="/4195.html"   Extracted="3540654747"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540657576"   Paper_ID="/4195.html"   Extracted="3540657576"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540658947"   Paper_ID="/4195.html"   Extracted="3540658947"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540663479"   Paper_ID="/4195.html"   Extracted="3540663479"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540679073"   Paper_ID="/4195.html"   Extracted="3540679073"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540789669"   Paper_ID="/4195.html"   Extracted="3540789669"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540892540"   Paper_ID="/4195.html"   Extracted="3540892540"   />

            <identifier   Org="ISBN:3642019560"   Paper_ID="/4195.html"   Extracted="3642019560"   />

            <identifier   Org="ISBN:3764324295"   Paper_ID="/4195.html"   Extracted="3764324295"   DDC="003/.54"   Normalized_DDC="00354"   Normalized_Weight="0.07142857142857142"   />

      </rec>

      <rec   ID="/28289.html"   Type="techreport"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="A   {METHOD}   {FOR}   {OBTAINING}   {DIGITAL}   {SIGNATURES}   {AND}   {PUBLIC}-{KEY}   {CRYPTOSYSTEMS},">

            <identifier   Org="ISBN:0072194820"   Paper_ID="/28289.html"   Extracted="0072194820"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0309088968"   Paper_ID="/28289.html"   Extracted="0309088968"   DDC="342.7308/58"   Normalized_DDC="342730858"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0387206167"   Paper_ID="/28289.html"   Extracted="0387206167"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0596006691"   Paper_ID="/28289.html"   Extracted="0596006691"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0735521581"   Paper_ID="/28289.html"   Extracted="0735521581"   DDC="346.7304/86"   Normalized_DDC="346730486"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0788100947"   Paper_ID="/28289.html"   Extracted="0788100947"   />

            <identifier   Org="ISBN:0792375580"   Paper_ID="/28289.html"   Extracted="0792375580"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0821833650"   Paper_ID="/28289.html"   Extracted="0821833650"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0821838423"   Paper_ID="/28289.html"   Extracted="0821838423"   DDC="512"   Normalized_DDC="512"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0849386195"   Paper_ID="/28289.html"   Extracted="0849386195"   DDC="621.39"   Normalized_DDC="62139"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:1420013580"   Paper_ID="/28289.html"   Extracted="1420013580"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3211817840"   Paper_ID="/28289.html"   Extracted="3211817840"   DDC="384.648"   Normalized_DDC="384648"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540213767"   Paper_ID="/28289.html"   Extracted="3540213767"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540416587"   Paper_ID="/28289.html"   Extracted="3540416587"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540679073"   Paper_ID="/28289.html"   Extracted="3540679073"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

      </rec>

      <rec   ID="/35842.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="547"   Title="Factoring   Integers   and   Computing   Discrete   Logarithms   via   {Diophantine}   Approximation,">

            <identifier   Org="ISBN:0769514685"   Paper_ID="/35842.html"   Extracted="0769514685"   />

            <identifier   Org="ISBN:0792356624"   Paper_ID="/35842.html"   Extracted="0792356624"   DDC="512/.3"   Normalized_DDC="5123"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:0792376862"   Paper_ID="/35842.html"   Extracted="0792376862"   DDC="005.7/2"   Normalized_DDC="00572"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:0821865978"   Paper_ID="/35842.html"   Extracted="0821865978"   DDC="511.3"   Normalized_DDC="5113"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:0849385237"   Paper_ID="/35842.html"   Extracted="0849385237"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540544585"   Paper_ID="/35842.html"   Extracted="3540544585"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540546200"   Paper_ID="/35842.html"   Extracted="3540546200"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540558950"   Paper_ID="/35842.html"   Extracted="3540558950"   DDC="004/.35"   Normalized_DDC="00435"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:4431712275"   Paper_ID="/35842.html"   Extracted="4431712275"   />

      </rec>

      <rec   ID="/18551.html"   Type="inproceedings"   CiteSeer_Book="Fundamentals   of   Computation   Theory"   CiteSeer_Volume=""   Title="Lattice   Basis   Reduction:   Improved   Practical   Algorithms   and   Solving   Subset   Sum   Problems,">

            <identifier   Org="ISBN:0818642211"   Paper_ID="/18551.html"   Extracted="0818642211"   />

            <identifier   Org="ISBN:0821827030"   Paper_ID="/18551.html"   Extracted="0821827030"   DDC="512.7"   Normalized_DDC="5127"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:082183584X"   Paper_ID="/18551.html"   Extracted="082183584X"   DDC="519.6"   Normalized_DDC="5196"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0821865978"   Paper_ID="/18551.html"   Extracted="0821865978"   DDC="511.3"   Normalized_DDC="5113"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:1584883472"   Paper_ID="/18551.html"   Extracted="1584883472"   DDC="510/.3"   Normalized_DDC="5103"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540201769"   Paper_ID="/18551.html"   Extracted="3540201769"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540206957"   Paper_ID="/18551.html"   Extracted="3540206957"   DDC="004.015181"   Normalized_DDC="004015181"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540221565"   Paper_ID="/18551.html"   Extracted="3540221565"   DDC="512.7"   Normalized_DDC="5127"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540259104"   Paper_ID="/18551.html"   Extracted="3540259104"   />

            <identifier   Org="ISBN:3540310126"   Paper_ID="/18551.html"   Extracted="3540310126"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/18551.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540425128"   Paper_ID="/18551.html"   Extracted="3540425128"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540544585"   Paper_ID="/18551.html"   Extracted="3540544585"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540601147"   Paper_ID="/18551.html"   Extracted="3540601147"   DDC="005.7/2"   Normalized_DDC="00572"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540601767"   Paper_ID="/18551.html"   Extracted="3540601767"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540646574"   Paper_ID="/18551.html"   Extracted="3540646574"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540675175"   Paper_ID="/18551.html"   Extracted="3540675175"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540892540"   Paper_ID="/18551.html"   Extracted="3540892540"   />

      </rec>

      <rec   ID="/163432.html"   Type="article"   CiteSeer_Book="Lecture   Notes   in   Computer   Science"   CiteSeer_Volume="921"   Title="Attacking   the   {Chor-Rivest}   cryptosystem   by   improved   lattice   reduction,">

            <identifier   Org="ISBN:0792376862"   Paper_ID="/163432.html"   Extracted="0792376862"   DDC="005.7/2"   Normalized_DDC="00572"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:082183584X"   Paper_ID="/163432.html"   Extracted="082183584X"   DDC="519.6"   Normalized_DDC="5196"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0821840908"   Paper_ID="/163432.html"   Extracted="0821840908"   DDC="512.7"   Normalized_DDC="5127"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0849385237"   Paper_ID="/163432.html"   Extracted="0849385237"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:1581132034"   Paper_ID="/163432.html"   Extracted="1581132034"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540221565"   Paper_ID="/163432.html"   Extracted="3540221565"   DDC="512.7"   Normalized_DDC="5127"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540306846"   Paper_ID="/163432.html"   Extracted="3540306846"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="/163432.html"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540594094"   Paper_ID="/163432.html"   Extracted="3540594094"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540646574"   Paper_ID="/163432.html"   Extracted="3540646574"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540663479"   Paper_ID="/163432.html"   Extracted="3540663479"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540669671"   Paper_ID="/163432.html"   Extracted="3540669671"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540675175"   Paper_ID="/163432.html"   Extracted="3540675175"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540679073"   Paper_ID="/163432.html"   Extracted="3540679073"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540681590"   Paper_ID="/163432.html"   Extracted="3540681590"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540748709"   Paper_ID="/163432.html"   Extracted="3540748709"   DDC="518/.1"   Normalized_DDC="5181"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540789669"   Paper_ID="/163432.html"   Extracted="3540789669"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3642019560"   Paper_ID="/163432.html"   Extracted="3642019560"   />

            <identifier   Org="ISBN:4431707271"   Paper_ID="/163432.html"   Extracted="4431707271"   />

      </rec>

      <rec   ID="SELF"   Type="SELF"   CiteSeer_Book="SELF"   CiteSeer_Volume="SELF"   Title="Lattice   Reduction   in   Cryptology:   An   Update">

            <identifier   Org="ISBN:0821840908"   Paper_ID="SELF"   Extracted="0821840908"   DDC="512.7"   Normalized_DDC="5127"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:1581133499"   Paper_ID="SELF"   Extracted="1581133499"   />

            <identifier   Org="ISBN:3540006230"   Paper_ID="SELF"   Extracted="3540006230"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540008470"   Paper_ID="SELF"   Extracted="3540008470"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540140395"   Paper_ID="SELF"   Extracted="3540140395"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540201769"   Paper_ID="SELF"   Extracted="3540201769"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540206639"   Paper_ID="SELF"   Extracted="3540206639"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540210180"   Paper_ID="SELF"   Extracted="3540210180"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540308059"   Paper_ID="SELF"   Extracted="3540308059"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540414045"   Paper_ID="SELF"   Extracted="3540414045"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540423001"   Paper_ID="SELF"   Extracted="3540423001"   DDC="005.8"   Normalized_DDC="0058"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540424881"   Paper_ID="SELF"   Extracted="3540424881"   DDC="005.8/2"   Normalized_DDC="00582"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540430660"   Paper_ID="SELF"   Extracted="3540430660"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540438637"   Paper_ID="SELF"   Extracted="3540438637"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:354044050X"   Paper_ID="SELF"   Extracted="354044050X"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540751866"   Paper_ID="SELF"   Extracted="3540751866"   />

            <identifier   Org="ISBN:3764365102"   Paper_ID="SELF"   Extracted="3764365102"   DDC="003/.54"   Normalized_DDC="00354"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:8479786507"   Paper_ID="SELF"   Extracted="8479786507"   DDC="005.82"   Normalized_DDC="00582"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:9812384502"   Paper_ID="SELF"   Extracted="9812384502"   />

      </rec>

</references_metadata>