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Volumn , Issue , 2003, Pages 396-406

The worst-case behavior of Schnorr's algorithm approximating the shortest nonzero vector in a lattice

Author keywords

Algorithm; Basis; Lattice

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; POLYNOMIALS; VECTORS;

EID: 0038784608     PISSN: 07349025     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/780542.780602     Document Type: Conference Paper
Times cited : (20)

References (12)
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    • M. Furst and R Kannan. Succinct certificates for almost all subset problems SIAM Journal on Computing, Vol. 18 No. 3, pp 550-558, June (1989)
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    • Furst, M.1    Kannan, R.2
  • 6
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    • R. Kannan, Minkowski's convex body Theorem and Integer Programming, Mathematics of Operation Research, Vol. 12. No. 3, (1987), pp 415-440.
    • (1987) Mathematics of Operation Research , vol.12 , Issue.3 , pp. 415-440
    • Kannan, R.1
  • 7
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    • Algorithmic geometry of numbers
    • (eds) Traub, Publ. Annual Reviews Inc
    • R. Kannan, Algorithmic Geometry of Numbers", Annual Review of Computer Science, Vol. 2, 1987 pp 231-269, (eds) Traub, Publ. Annual Reviews Inc.
    • (1987) Annual Review of Computer Science , vol.2 , pp. 231-269
    • Kannan, R.1
  • 8
    • 34250244723 scopus 로고
    • Factoring polynomials with rational coefficients
    • A. K. Lenstra, H. W. Lenstra, L. Lovász, Factoring polynomials with rational coefficients, Math. Ann. 261, 515-534 (1982).
    • (1982) Math. Ann. , vol.261 , pp. 515-534
    • Lenstra, A.K.1    Lenstra, H.W.2    Lovász, L.3
  • 11
    • 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, (1987) 201-224.
    • (1987) Theoretical Computer Science , vol.53 , pp. 201-224
    • Schnorr, C.P.1
  • 12
    • 29144493689 scopus 로고    scopus 로고
    • Lattice reduction by random sampling and birthday methods
    • Berlin
    • C. P. Schnorr, Lattice Reduction by Random Sampling and Birthday Methods, STACS'03, Berlin, 2003
    • (2003) STACS'03
    • Schnorr, C.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.