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Volumn 61, Issue 4, 1997, Pages 183-188

Note on shortest and nearest lattice vectors

Author keywords

Computational geometry; Nearest lattice vector; Polar lattice; Shortest lattice vector

Indexed keywords


EID: 0005382386     PISSN: 00200190     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-0190(97)00019-7     Document Type: Article
Times cited : (12)

References (10)
  • 1
    • 0000303291 scopus 로고
    • New bounds in some transference theorems in the geometry of numbers
    • W. Banaszczyk, New bounds in some transference theorems in the geometry of numbers, Math. Ann. 296 (4) (1993) 625-635.
    • (1993) Math. Ann. , vol.296 , Issue.4 , pp. 625-635
    • Banaszczyk, W.1
  • 4
    • 84979765227 scopus 로고
    • An algorithm for the reduction of a matrix of integers to triangular form with power complexity of the computations
    • in Russian
    • M.A. Frumkin, An algorithm for the reduction of a matrix of integers to triangular form with power complexity of the computations, Èkonomika i Matematicheskie Metody 2 (1976) 173-178 (in Russian).
    • (1976) Èkonomika i Matematicheskie Metody , vol.2 , pp. 173-178
    • Frumkin, M.A.1
  • 7
    • 0000126406 scopus 로고
    • Minkowski's convex body theorem ad integer programming
    • R. Kannan, Minkowski's convex body theorem ad integer programming, Math. Oper. Res. 12 (3) (1987) 415-440.
    • (1987) Math. Oper. Res. , vol.12 , Issue.3 , pp. 415-440
    • Kannan, R.1
  • 8
    • 0001047308 scopus 로고
    • Polynomial algorithms for computing the Smith and Hermite normal forms of an integer matrix
    • R. Kannan and A. Bachem, Polynomial algorithms for computing the Smith and Hermite normal forms of an integer matrix, SIAM J. Comput. 8 (1979) 499-507.
    • (1979) SIAM J. Comput. , vol.8 , pp. 499-507
    • Kannan, R.1    Bachem, A.2
  • 9
    • 0003324002 scopus 로고
    • An algorithmic theory of numbers, graphs and convexity
    • SIAM, Philadelphia, PA
    • Lovász, An Algorithmic Theory of Numbers, Graphs and Convexity, CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 50 (SIAM, Philadelphia, PA, 1986).
    • (1986) CBMS-NSF Regional Conference Series in Applied Mathematics , vol.50
    • Lovász1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.