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Volumn 59, Issue 2, 1999, Pages 221-239

Approximating the SVP to within a factor (1+1/dimε) is NP-hard under randomized reductions

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; RANDOM PROCESSES; VECTORS;

EID: 0032597114     PISSN: 00220000     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcss.1999.1649     Document Type: Article
Times cited : (37)

References (22)
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  • 3
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    • M. Ajtai, Generating hard instances of lattice problems, in Proc. 28th ACM Symposium on Theory of Computing (STOC), 1996, pp. 99-108. Full version available as TR96-007 from ECCC, Electronic Colloquium on Complexity, at http://www.uni-trier.de/eccc/.
    • (1996) In Proc. 28th ACM Symposium on Theory of Computing (STOC) , pp. 99-108
    • Ajtai, M.1
  • 4
    • 0002621248 scopus 로고    scopus 로고
    • 2 is NP-hard for randomized reduction
    • Full version available as TR97-047 from ECCC, Electronic Colloquium on Computational Complexity, at
    • 2 is NP-hard for randomized reduction, in, Proc. 30th ACM Symposium on Theory of Computing (STOC), 1998. Full version available as TR97-047 from ECCC, Electronic Colloquium on Computational Complexity, at http://www.uni-trier.de/eccc/.
    • (1998) In, Proc. 30th ACM Symposium on Theory of Computing (STOC)
    • Ajtai, M.1
  • 5
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    • A relation of primal-dual lattices and the complexity of shortest lattice vector problem
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    • Cai, J.-Y.1
  • 7
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    • Über due Reduktion der positiven quadratischen Formen mit drei unbestimmten ganzen Zahlen
    • Dirichlet P. G. L. Über due Reduktion der positiven quadratischen Formen mit drei unbestimmten ganzen Zahlen. J. Reine Angew. Math. 40:1850;209-227.
    • (1850) J. Reine Angew. Math. , vol.40 , pp. 209-227
    • Dirichlet, P.G.L.1
  • 14
    • 0005319167 scopus 로고
    • Extraits de lettres de M. Ch. Hermiteà M. Jacobi sur différents objects de la théorie des nombres
    • Hermite C. Extraits de lettres de M. Ch. Hermiteà M. Jacobi sur différents objects de la théorie des nombres. J. Reine Angew. Math. 40:1850;261-278.
    • (1850) J. Reine Angew. Math. , vol.40 , pp. 261-278
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  • 17
    • 34250244723 scopus 로고
    • Factoring polynomials with rational coefficients
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  • 18
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    • Korkin-Zolotariev bases and successive minima of a lattice and its reciprocal lattice
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    • (1990) Combinatorica , vol.10 , pp. 333-348
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  • 20
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    • The shortest vector in a lattice is hard to approximate to within some constant
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.