Efficient construction of secure hyperelliptic discrete logarithm problems

Author:

Chao Jinhui,Matsuda Nori,Tsujii Shigeo

Publisher

Springer Berlin Heidelberg

Reference25 articles.

1. L.M. Adleman, M.D.A. Huang: “Primality Testing and Abelian Varieties Over Finite Fields,” Springer-Verlag, (1992).

2. L.M. Adleman, J.D. Marrais, M.D. Huang: “A Subexponential Algorithms for Discrete Logarithms over the Rational Subgroup of the Jacobians of Large Genus Hyperelliptic Curves over Finite Fields,” Proc. of ANTS95, Springer, (1995)

3. D.Cantor: “Computing in the jacobian of hyperelliptic curve,” Math. Comp., vol.48, p.95–101, (1987)

4. J. Chao, K. Tanada, S. Tsujii: “Design of Elliptic Curves with Controllable Lower boundary of Extension Degree for Reduction Attacks”, Yvo G. Desmedt (Ed.) Advances in Cryptology-CRYPTO'94, Lecture Notes in Computer Science, 839, Springer-Verlag, pp.50–55, 1994.

5. J. Chao, K. Harada, N. Matsuda, S. Tsujii:“Design of secure elliptic curves over extension fields with CM fields methods,” Proc. of Pragocrypto'97, p.93–108, (1997)

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