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Volumn 151, Issue 1-2, 1999, Pages 17-31

A Lattice-Based Public-Key Cryptosystem

Author keywords

Cryptographic security; Lattice; Public key cryptosystem

Indexed keywords


EID: 0346499215     PISSN: 08905401     EISSN: None     Source Type: Journal    
DOI: 10.1006/inco.1998.2762     Document Type: Article
Times cited : (15)

References (17)
  • 1
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    • Ajtai, M. (1996), Generating hard instances of lattice problems, in "Proc. 28th Annual ACM Symposium on the Theory of Computing," pp. 99-108. [Full version available from ECCC, Electronic Colloquium on Computational Complexity TR96-007, at http://www.eccc.uni-trier.de/eccc/]
    • (1996) Proc. 28th Annual ACM Symposium on the Theory of Computing , pp. 99-108
    • Ajtai, M.1
  • 2
    • 0346648924 scopus 로고    scopus 로고
    • Electronic Colloquium on Computational Complexity TR97-047
    • 2 is NP-hard for randomized reductions, Electronic Colloquium on Computational Complexity TR97-047, at http://www.eccc.uni-trier.de/eccc/.
    • (1997) 2 Is NP-hard for Randomized Reductions
    • Ajtai, M.1
  • 7
    • 0004489099 scopus 로고    scopus 로고
    • A primal-dual relation for lattices and the complexity of shortest lattice vector problem
    • to appear
    • Cai, J-Y. (1998), A primal-dual relation for lattices and the complexity of shortest lattice vector problem, Theoret. Comput. Sci., to appear.
    • (1998) Theoret. Comput. Sci.
    • Cai, J.-Y.1
  • 11
    • 84958655849 scopus 로고    scopus 로고
    • Public-key cryptosystems from lattice reduction problems
    • "Advances in Cryptology - CRYPTO '97," Springer-Verlag, New York/Berlin
    • Goldreich, O., Goldwasser, S., and Halevi, S. (1997), Public-key cryptosystems from lattice reduction problems, in "Advances in Cryptology - CRYPTO '97," Lecture Notes in Computer Science, Vol. 1294, Springer-Verlag, New York/Berlin, pp. 112-131.
    • (1997) Lecture Notes in Computer Science , vol.1294 , pp. 112-131
    • Goldreich, O.1    Goldwasser, S.2    Halevi, S.3
  • 12
    • 0022012583 scopus 로고
    • The computational complexity of simultaneous diophantine approximation problems
    • Lagarias, J. C. (1985), The computational complexity of simultaneous diophantine approximation problems, SIAM J. Comput. 14, 196-209.
    • (1985) SIAM J. Comput. , vol.14 , pp. 196-209
    • Lagarias, J.C.1
  • 13
    • 34249953865 scopus 로고
    • Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice
    • Lagarias, J. C., Lenstra, H. W., and Schnorr, C. P. (1990), Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice, Combinatorica 10, 333-348.
    • (1990) Combinatorica , vol.10 , pp. 333-348
    • Lagarias, J.C.1    Lenstra, H.W.2    Schnorr, C.P.3
  • 14
    • 34250244723 scopus 로고
    • Factoring polynomials with rational coefficients
    • Lenstra, A. K., Lenstra, H. W., and Lovász, L. (1982), Factoring polynomials with rational coefficients, Math. Ann. 261, 515-534.
    • (1982) Math. Ann. , vol.261 , pp. 515-534
    • Lenstra, A.K.1    Lenstra, H.W.2    Lovász, L.3
  • 15
    • 0002114928 scopus 로고
    • The rise and fall of knapsack cryptosystems
    • Am. Math. Soc., Providence, RI
    • Odlyzko, A. M. (1990), The rise and fall of knapsack cryptosystems, in "Cryptology and Computational Number Theory," pp. 75-88, Am. Math. Soc., Providence, RI.
    • (1990) Cryptology and Computational Number Theory , pp. 75-88
    • Odlyzko, A.M.1
  • 16
    • 0023532388 scopus 로고
    • A hierarchy of polynomial time lattice basis reduction algorithms
    • Schnorr, C. P. (1987), A hierarchy of polynomial time lattice basis reduction algorithms, Theoret. Comput. Sci. 53, 201-224.
    • (1987) Theoret. Comput. Sci. , vol.53 , pp. 201-224
    • Schnorr, C.P.1
  • 17
    • 0011039877 scopus 로고
    • Another NP-complete partition problem and the complexity of computing short vectors in lattices
    • Mathematics Department, University of Amsterdam
    • van Emde Boas, P. (1981), Another NP-complete partition problem and the complexity of computing short vectors in lattices, Technical Report 81-04, Mathematics Department, University of Amsterdam.
    • (1981) Technical Report 81-04
    • Van Emde Boas, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.