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Volumn 1514, Issue , 1998, Pages 80-94

Design of hyperelliptic cryptosystems in small characteristic and a software implementation over F2n

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SECURITY OF DATA;

EID: 84947769343     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-49649-1_8     Document Type: Conference Paper
Times cited : (23)

References (23)
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    • L.M. adleman, J. DeMarrais and M. huang, "A Subexponential Algorithm for Discrete Logarithm over the Rational Subgroup of the Jacobians of Large Genus Hyperelliptic Curves over Finite Fields", Proc. of ANTS1, LNCS, vol. 877, Springer-Verlag, (1994), 28-40
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  • 4
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    • Computing in the Jacobian of a Hyperelliptic Curve
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  • 5
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    • Efficient construction of secure hyperelliptic discrete logarithms
    • Springer-Verlag, LNCS
    • J. Chao, N. Matsuda, and S. TSUJII, "Efficient construction of secure hyperelliptic discrete logarithms", Information and Communications Security, Springer-Verlag, LNCS 1334 (1997), 292-301.
    • (1997) Information and Communications Security , vol.1334 , pp. 292-301
    • Chao, J.1    Matsuda, N.2    Tsujii, S.3
  • 6
    • 84957382777 scopus 로고
    • Design of elliptic curves with controllable lower boundary of extension degree for reduction attacks
    • Springer-Verlag
    • J. Chao, K. Tanaka, and S. Tsujii, "Design of elliptic curves with controllable lower boundary of extension degree for reduction attacks", Advances in Cryptology Crypto'94, Springer-Verlag, (1994), 50-55.
    • (1994) Advances in Cryptology Crypto'94 , pp. 50-55
    • Chao, J.1    Tanaka, K.2    Tsujii, S.3
  • 8
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    • A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves
    • G. Frey and H.G. Ruck, "A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves", Math. Comp, 62,No.206 (1994), 865-874
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    • Frey, G.1    Ruck, H.G.2
  • 10
    • 85031798246 scopus 로고
    • A Family of Jacobians Suitable for Discrete Log Cryptosystems
    • Springer-Verlag
    • N. KOBLITZ, "A Family of Jacobians Suitable for Discrete Log Cryptosystems", Advances in Cryptology Crypto'88, Springer-Verlag, (1990), 94-99.
    • (1990) Advances in Cryptology Crypto'88 , pp. 94-99
    • Koblitz, N.1
  • 11
    • 0024864204 scopus 로고
    • Hyperelliptic Cryptosystems
    • N. KOBLITZ, "Hyperelliptic Cryptosystems", J.Cryptology, 1 (1989), 139-150.
    • (1989) J.Cryptology , vol.1 , pp. 139-150
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  • 14
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    • A.J. Menezes, T. Okamoto and S.A. Vanstone, "Reducing elliptic curve logarithm to logarithm in a finite field", IEEE Trans. on IT, 39, (1993), 1639-1646.
    • (1993) IEEE Trans. On IT , vol.39 , pp. 1639-1646
    • Menezes, A.J.1    Okamoto, T.2    Vanstone, S.A.3
  • 15
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    • An improved algorithm for computing logarithms over GF(P) and its cryptographic significance
    • S.C. POHLIG and M.E. HELLMAN, "An improved algorithm for computing logarithms over GF(p) and its cryptographic significance", IEEE Trans. on IT, 24, (1978), 106-110
    • (1978) IEEE Trans. On IT , vol.24 , pp. 106-110
    • Pohlig, S.C.1    Hellman, M.E.2
  • 18
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    • Evaluation of discrete logarithms in a group of p-torsion pointsof an elliptic curve in characteristic p
    • I.A. Semaev, "Evaluation of discrete logarithms in a group of p-torsion pointsof an elliptic curve in characteristic p", Math. Comp, Vol.76 (1998), 353-356.
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  • 20
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  • 22
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    • (1996) Advances in Cryptology Asiacrypt'96 , pp. 65-76
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.