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Volumn 529 LNCS, Issue , 1991, Pages 68-85

Lattice basis reduction: Improved practical algorithms and solving subset sum problems

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTERS;

EID: 85029774337     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-54458-5_51     Document Type: Conference Paper
Times cited : (83)

References (21)
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  • 2
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  • 6
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    • On the Lagarias-Odlyzko algorithm for the subset sum problem
    • A. M. FRIEZE: On the Lagarias-Odlyzko algorithm for the subset sum problem. SIAM J. Comput. 15 (2) (1986), 536-539.
    • (1986) SIAM J. Comput , vol.15 , Issue.2 , pp. 536-539
    • Frieze, A.M.1
  • 8
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    • Polynomial time algorithms for finding integer relations among real numbers
    • October
    • J. HASTAD, B. JUST, J. C. LAGARIAS and C. P. SCHNORR: Polynomial time algorithms for finding integer relations among real numbers. SIAM J. Comput. 18 (5) (October 1989), 859-881.
    • (1989) SIAM J. Comput , vol.18 , Issue.5 , pp. 859-881
    • Hastad, J.1    Just, B.2    Lagarias, J.C.3    Schnorr, C.P.4
  • 9
    • 0008238825 scopus 로고
    • Improving the critical density of the Lagarias-Odlyzko attack against subset sum problems
    • Brandenburg, Germany, September
    • A. Joux and J. STERN: Improving the critical density of the Lagarias-Odlyzko attack against subset sum problems. Proceedings of FCT symposium, Brandenburg, Germany, September (1991).
    • (1991) Proceedings of FCT symposium
    • Joux, A.1    Stern, J.2
  • 10
    • 0000126406 scopus 로고
    • Minkowski’s Convex Body Theory and Integer Programming
    • R. KANNAN: Minkowski’s Convex Body Theory and Integer Programming. Math. Oper. Res. 12 (1987), 415-440.
    • (1987) Math. Oper. Res , vol.12 , pp. 415-440
    • Kannan, R.1
  • 12
    • 0021936756 scopus 로고
    • Solving low-density subset sum problems
    • J. C LAGARIAS and A. M. ODLYZKO: Solving low-density subset sum problems. J. Assoc. Comp. Mach. 32(1) (1985), 229-246.
    • (1985) J. Assoc. Comp. Mach , vol.32 , Issue.1 , pp. 229-246
    • Lagarias, J.C.1    Odlyzko, A.M.2
  • 13
    • 0347860340 scopus 로고
    • Basis Reduction Algorithms and Subset Sum Problems
    • Massachusetts Institute of Technoliogy, Cambridge, MA, In preparation
    • B. A. LAMACCHIA: Basis Reduction Algorithms and Subset Sum Problems. SM Thesis, Dept. of Elect. Eng. and Comp. Sci., Massachusetts Institute of Technoliogy, Cambridge, MA (1991). In preparation.
    • (1991) SM Thesis, Dept. of Elect. Eng. and Comp. Sci
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  • 14
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    • Factoring polynomials with rational coefficients
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    • Lenstra, A.K.1    Lenstra, H.W.2    Lovász, L.3
  • 15
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    • The rise and fall of knapsack cryptosystems
    • C. Pomerance, ed., Am. Math. Soc, Proc. Symp. Appl. Math
    • A. M. ODLYZKO: The rise and fall of knapsack cryptosystems. Cryptology and Computational Number Theory, C. Pomerance, ed., Am. Math. Soc, Proc. Symp. Appl. Math. 42 (1990), 75-88.
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  • 16
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    • Approximating integer lattices by lattices with cyclic factor groups
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    • A. PAZ and C. P. SCHNORR: Approximating integer lattices by lattices with cyclic factor groups. Automata, Languages, and Programming: 14th ICALP, Lecture Notes in Computer Science 267, Springer-Verlag, NY (1987), 386-393.
    • (1987) Automata, Languages, and Programming , pp. 386-393
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  • 18
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    • 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 (1987), 201-224.
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    • Schnorr, C.P.1
  • 19
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    • Schnorr, C.P.1
  • 20
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    • Factoring integers and computing discrete logarithms via diophantine approximation
    • Brighton, May, to appear in Springer LNCS
    • C. P. SCHNORR: Factoring integers and computing discrete logarithms via diophantine approximation. Proceedings EUROCRYPT’91, Brighton, May 1991, to appear in Springer LNCS.
    • (1991) Proceedings EUROCRYPT’91
    • Schnorr, C.P.1


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