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Volumn 71, Issue 2, 1999, Pages 55-61

Approximating shortest lattice vectors is not harder than approximating closest lattice vectors

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ERROR CORRECTION; POLYNOMIALS; RANDOM PROCESSES; VECTORS;

EID: 0032613321     PISSN: 00200190     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-0190(99)00083-6     Document Type: Article
Times cited : (99)

References (16)
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    • S. Arora, L. Babai, J. Stern, Z. Sweedyk, The hardness of approximate optima in lattices, codes, and systems of linear equations, J. Comput. System Sci. 54 (2) (1997) 317-331.
    • (1997) J. Comput. System Sci. , vol.54 , Issue.2 , pp. 317-331
    • Arora, S.1    Babai, L.2    Stern, J.3    Sweedyk, Z.4
  • 4
    • 51249173801 scopus 로고
    • On Lovász' lattice reduction and the nearest lattice point problem
    • L. Babai, On Lovász' lattice reduction and the nearest lattice point problem, Combinatorica 6 (1) (1986) 1-13.
    • (1986) Combinatorica , vol.6 , Issue.1 , pp. 1-13
    • Babai, L.1
  • 8
    • 0005382386 scopus 로고    scopus 로고
    • Note on shortest and nearest lattice vectors, I
    • M. Henk, Note on shortest and nearest lattice vectors, Inform. Process. Lett. 61 (4) (1997) 183-188.
    • (1997) Nform. Process. Lett. , vol.61 , Issue.4 , pp. 183-188
    • Henk, M.1
  • 9
    • 0000351029 scopus 로고
    • Algorithmic geometry of numbers
    • R. Kannan, Algorithmic geometry of numbers, Ann. Reviews Comput. Sci. 2 (1987) 231-267.
    • (1987) Ann. Reviews Comput. Sci. , vol.2 , pp. 231-267
    • Kannan, R.1
  • 11
    • 34250244723 scopus 로고
    • Factoring polynomials with rational coefficients
    • A.K. Lenstra, H.W. Lenstra, L. Lovász, Factoring polynomials with rational coefficients, Math. Ann. 261 (4) (1982) 515-534.
    • (1982) Math. Ann. , vol.261 , Issue.4 , pp. 515-534
    • Lenstra, A.K.1    Lenstra, H.W.2    Lovász, L.3
  • 12
    • 0032314321 scopus 로고    scopus 로고
    • The shortest vector in a lattice is hard to approximate to within some constant
    • Palo Alto, CA, November
    • D. Micciancio, The shortest vector in a lattice is hard to approximate to within some constant, in: Proc. 39th Symposium on Foundations of Computer Science (FOCS'98), Palo Alto, CA, November 1998, pp. 92-98.
    • (1998) Proc. 39th Symposium on Foundations of Computer Science (FOCS'98) , pp. 92-98
    • Micciancio, D.1
  • 13
    • 0023532388 scopus 로고
    • A hierarchy of polynomial time lattice basis reduction algorithms
    • C.P. Schnorr, A hierarchy of polynomial time lattice basis reduction algorithms, Theoret. Comput. Sci. 53 (2-3) (1987) 201-224.
    • (1987) Theoret. Comput. Sci. , vol.53 , Issue.2-3 , pp. 201-224
    • Schnorr, C.P.1
  • 15
    • 0030672385 scopus 로고    scopus 로고
    • Algorithmic complexity in coding theory and the minimum distance problem
    • El Paso, TX, May
    • A. Vardy, Algorithmic complexity in coding theory and the minimum distance problem, in: Proc. 29th Annual ACM Symposium on Theory of Computing (STOC'97), El Paso, TX, May 1997, pp. 92-109.
    • (1997) Proc. 29th Annual ACM Symposium on Theory of Computing (STOC'97) , pp. 92-109
    • Vardy, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.