메뉴 건너뛰기




Volumn 4515 LNCS, Issue , 2007, Pages 361-378

Toward a rigorous variation of coppersmith's algorithm on three variables

Author keywords

Coppersmith's algorithms; Gr bner basis; Lattice reduction

Indexed keywords

COMPUTATIONAL EFFICIENCY; CRYPTOGRAPHY; HEURISTIC METHODS; POLYNOMIAL APPROXIMATION; PROBLEM SOLVING;

EID: 38049098109     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-72540-4_21     Document Type: Conference Paper
Times cited : (19)

References (15)
  • 3
    • 24944522481 scopus 로고    scopus 로고
    • J. Blömer and A. May. A Tool Kit for Finding Small Roots of Bivariate Polynomials over the Integers. Proceedings of Eurocrypt 2005, Lecture Notes in Computer Science, 3494:251-257, 2005.
    • J. Blömer and A. May. A Tool Kit for Finding Small Roots of Bivariate Polynomials over the Integers. Proceedings of Eurocrypt 2005, Lecture Notes in Computer Science, 3494:251-257, 2005.
  • 5
    • 84947916423 scopus 로고    scopus 로고
    • Finding a Small Root of a Bivariate Integer Equation; Factoring with high bits known
    • Advances in Cryptology-Eurocrypt '96, Springer-Verlag
    • D. Coppersmith. Finding a Small Root of a Bivariate Integer Equation; Factoring with high bits known. In Advances in Cryptology-Eurocrypt '96, Lecture Notes in Computer Science, volume 1070, pages 178-189. Springer-Verlag, 1996.
    • (1996) Lecture Notes in Computer Science , vol.1070 , pp. 178-189
    • Coppersmith, D.1
  • 6
    • 84947924912 scopus 로고    scopus 로고
    • Finding a Small Root of a Univariate Modular Equation
    • Advances in Cryptology-Eurocrypt '96, Springer Verlag
    • D. Coppersmith. Finding a Small Root of a Univariate Modular Equation. In Advances in Cryptology-Eurocrypt '96, Lecture Notes in Computer Science, volume 1070, pages 155-165. Springer Verlag, 1996.
    • (1996) Lecture Notes in Computer Science , vol.1070 , pp. 155-165
    • Coppersmith, D.1
  • 7
    • 84958958956 scopus 로고    scopus 로고
    • D. Coppersmith. Finding Small Solutions to Small Degree Polynomials. In Cryptography and Lattice Conference, Lecture Notes in Computer Science, 2146. Springer-Verlag, 2001.
    • D. Coppersmith. Finding Small Solutions to Small Degree Polynomials. In Cryptography and Lattice Conference, Lecture Notes in Computer Science, volume 2146. Springer-Verlag, 2001.
  • 8
    • 24944529717 scopus 로고    scopus 로고
    • Finding Small Roots of Bivariate Integer Polynomial Equations Revisited
    • Advances in Cryptology-Eurocrypt '04, Springer-Verlag
    • J.-S. Coron. Finding Small Roots of Bivariate Integer Polynomial Equations Revisited. In Advances in Cryptology-Eurocrypt '04, Lecture Notes in Computer Science, pages 492-505. Springer-Verlag, 2004.
    • (2004) Lecture Notes in Computer Science , pp. 492-505
    • Coron, J.-S.1
  • 9
    • 24944544867 scopus 로고    scopus 로고
    • M. Ernst, E. Jochemsz, A. May, and B.de Weger. Partial Key Exposure Attacks on RSA up to Full Size Exponents. In Advances in Cryptology (Eurocrypt 2005), Lecture Notes in Computer Science 3494, pages 371-386, Springer-Verlag, 2005.
    • M. Ernst, E. Jochemsz, A. May, and B.de Weger. Partial Key Exposure Attacks on RSA up to Full Size Exponents. In Advances in Cryptology (Eurocrypt 2005), Lecture Notes in Computer Science Volume 3494, pages 371-386, Springer-Verlag, 2005.
  • 10
    • 0033143274 scopus 로고    scopus 로고
    • J.-C. Faugère. A New Efficient Algorithm for Computing Gröbner Bases (F4). Journal of Pure and Applied Algebra, (139):61-88, 1999.
    • J.-C. Faugère. A New Efficient Algorithm for Computing Gröbner Bases (F4). Journal of Pure and Applied Algebra, (139):61-88, 1999.
  • 11
    • 38049176322 scopus 로고    scopus 로고
    • M. J. Hinek. New partial key exposure attacks on RSA revisited. Technical report, CACR, Centre for Applied Cryptographic Research, University of Waterloo, 2004.
    • M. J. Hinek. New partial key exposure attacks on RSA revisited. Technical report, CACR, Centre for Applied Cryptographic Research, University of Waterloo, 2004.
  • 12
    • 38049119200 scopus 로고    scopus 로고
    • M. J. Hinek. Small Private Exponent Partial Key-Exposure Attacks on Multiprime RSA. Technical report, CACR, Centre for Applied Cryptographic Research, University of Waterloo, 2005.
    • M. J. Hinek. Small Private Exponent Partial Key-Exposure Attacks on Multiprime RSA. Technical report, CACR, Centre for Applied Cryptographic Research, University of Waterloo, 2005.
  • 14
    • 84958958450 scopus 로고    scopus 로고
    • N. Howgrave-Graham. Approximate Integer Common Divisor. In CaLC '01: Lecture Notes in Computer Science, 2146, pages 51-66. Springer-Verlag, 2001.
    • N. Howgrave-Graham. Approximate Integer Common Divisor. In CaLC '01: Lecture Notes in Computer Science, volume 2146, pages 51-66. Springer-Verlag, 2001.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.