Abstract | ||
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. Hyperelliptic curves have been used to define discrete logarithmproblems as cryptographic one-way functions. However, no efficientalgorithm for construction of secure hyperelliptic curves is known untilnow. In this paper, efficient algorithms are presented to construct securediscrete logarithm problems on hyperelliptic curves whose Jacobianvarieties are either simple or isogenous to a product of simple abelianvarieties.1 IntroductionDiscrete logarithm problems over elliptic curves... |
Year | DOI | Venue |
---|---|---|
1997 | 10.1007/BFb0028485 | ICICS |
Keywords | Field | DocType |
secure hyperelliptic discrete logarithm,efficient construction,hyperelliptic curve,one way function,elliptic curve,discrete logarithm problem | Discrete mathematics,Abelian group,Hyperelliptic curve,Secret sharing,Algebra,Jacobian matrix and determinant,Cryptography,Hyperelliptic curve cryptography,Public-key cryptography,Mathematics,Discrete logarithm | Conference |
ISBN | Citations | PageRank |
3-540-63696-X | 6 | 2.13 |
References | Authors | |
9 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jinhui Chao | 1 | 43 | 8.20 |
Nori Matsuda | 2 | 44 | 5.27 |
Shigeo Tsujii | 3 | 598 | 131.15 |