메뉴 건너뛰기




Volumn 2146, Issue , 2001, Pages 67-80

Segment LLL-reduction of lattice bases

Author keywords

Divide and conquer; Iterated segments; LLL reduction; Local coordinates; Local LLL reduction; Segments; Shortest lattice vector

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTERS;

EID: 84958953465     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-44670-2_7     Document Type: Conference Paper
Times cited : (35)

References (14)
  • 1
    • 84948951675 scopus 로고    scopus 로고
    • Noisy Polynomial Interpolation and Noisy Chinese Remaindering
    • LNCS 1807, Springer-Verlag
    • D. Bleichenbacher and P.Q. Nguyen, Noisy Polynomial Interpolation and Noisy Chinese Remaindering, Proc. Eurocrypt’00, LNCS 1807, Springer-Verlag, pp. 53-69, 2000.
    • (2000) Proc. Eurocrypt’00 , pp. 53-69
    • Bleichenbacher, D.1    Nguyen, P.Q.2
  • 2
    • 0033706605 scopus 로고    scopus 로고
    • Finding Smooth Integers in Small Intervals Using CRT Decoding
    • ACM Press
    • D. Boneh, Finding Smooth Integers in Small Intervals Using CRT Decoding, Proc. STOC’00, ACM Press, pp. 265-272, 2000.
    • (2000) Proc. STOC’00 , pp. 265-272
    • Boneh, D.1
  • 3
    • 84931069763 scopus 로고    scopus 로고
    • The Complexity of some Lattice Problems
    • LNCS 1838, Springer-Verlag
    • J. Cai, The Complexity of some Lattice Problems, Proc. ANTS’00, LNCS 1838, Springer-Verlag, pp. 1-32, 2000.
    • (2000) Proc. ANTS’00 , pp. 1-32
    • Cai, J.1
  • 4
    • 0001494997 scopus 로고    scopus 로고
    • Small Solutions to Polynomial Equations, and Low Exponent RSA Vulnerabilities
    • D. Coppersmith, Small Solutions to Polynomial Equations, and Low Exponent RSA Vulnerabilities, J. Crypt. 10, pp. 233-260, 1997.
    • (1997) J. Crypt , vol.10 , pp. 233-260
    • Coppersmith, D.1
  • 5
    • 0000126406 scopus 로고
    • Minkowski’s Convex Body Theorewm and Integer Programming
    • R. Kannan, Minkowski’s Convex Body Theorewm and Integer Programming. Mathematical Operation Research, 12, pp. 415-440, 1984.
    • (1984) Mathematical Operation Research , vol.12 , pp. 415-440
    • Kannan, R.1
  • 7
    • 84958979810 scopus 로고    scopus 로고
    • LLL-Reduction with Floating Point Orthogonalization
    • H. Koy and C.P. Schnorr, LLL-Reduction with Floating Point Orthogonalization. This proceedings CaLC 2001, pp. 81-96.
    • This Proceedings Calc 2001 , pp. 81-96
    • Koy, H.1    Schnorr, C.P.2
  • 8
    • 34250244723 scopus 로고
    • Factoring polynomials with rational coefficients
    • A.K. Lenstra, H.W. Lenstra and L. Lovász, Factoring polynomials with rational coefficients, Math. Ann. 261, pp. 515-534, 1982.
    • (1982) Math. Ann , vol.261 , pp. 515-534
    • Lenstra, A.K.1    Lenstra, H.W.2    Lovász, L.3
  • 9
    • 33846870481 scopus 로고    scopus 로고
    • Lattice Reduction in Cryptology, An Update
    • LNCS 1838, Springer-Verlag
    • P.Q. Nguyen and J. Stern, Lattice Reduction in Cryptology, An Update, Proc. ANTS’00, LNCS 1838, Springer-Verlag, pp. 85-112, 2000.
    • (2000) Proc. ANTS’00 , pp. 85-112
    • Nguyen, P.Q.1    Stern, J.2
  • 10
    • 0023532388 scopus 로고
    • A hierarchy of polynomial time lattice basis reduction algorithms
    • C.P. Schnorr, A hierarchy of polynomial time lattice basis reduction algorithms, Theoretical Computer Science 53, pp. 201-224, 1987.
    • (1987) Theoretical Computer Science , vol.53 , pp. 201-224
    • Schnorr, C.P.1
  • 11
    • 85029774337 scopus 로고
    • Lattice Basis Reduction and Solving Subset Sum Problems
    • LNCS 591, Springer-Verlag, The complete paper appeared in Mathematical Programming Studie
    • C.P. Schnorr and M. Euchner, Lattice Basis Reduction and Solving Subset Sum Problems. Proceedings FCT’91, LNCS 591, Springer-Verlag, pp. 68-85, 1991. The complete paper appeared in Mathematical Programming Studies, 66, 2, pp. 181-199, 1994.
    • (1991) Proceedings FCT’91 , vol.66 , Issue.2 , pp. 68-85
    • Schnorr, C.P.1    Euchner, M.2
  • 12
    • 84974183411 scopus 로고
    • Block Reduced Lattice Bases and Successive Minima
    • C.P. Schnorr, Block Reduced Lattice Bases and Successive Minima, Combinatorics, Probability and Computing, 3, pp. 507-522, 1994.
    • (1994) Combinatorics, Probability and Computing , vol.3 , pp. 507-522
    • Schnorr, C.P.1
  • 13
    • 0009452048 scopus 로고
    • Attacking the Chor-Rivest Cryptosystem by Improved Lattice Reduction
    • LNCS 921, Springer-Verlag
    • C.P. Schnorr and H. Hörner, Attacking the Chor-Rivest Cryptosystem by Improved Lattice Reduction. Proceedings Eurocrypt’95, LNCS 921, Springer-Verlag, pp. 1-12, 1995.
    • (1995) Proceedings Eurocrypt’95 , pp. 1-12
    • Schnorr, C.P.1    Hörner, H.2
  • 14
    • 0000962711 scopus 로고
    • Factorization of univariate integer polynomials by Diophantine approximation and improved lattice basis reduction algorithm
    • LNCS 172, Springer-Verlag
    • A. Schönhage, Factorization of univariate integer polynomials by Diophantine approximation and improved lattice basis reduction algorithm, Proc. 11-th Coll. Automata, Languages and Programming, Antwerpen 1984, LNCS 172, Springer-Verlag, pp. 436-447, 1984.
    • (1984) Proc. 11-Th Coll. Automata, Languages and Programming, Antwerpen 1984 , pp. 436-447
    • Schönhage, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.