Title
Efficient construction of secure hyperelliptic discrete logarithm problems
Abstract
. 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 Chao1438.20
Nori Matsuda2445.27
Shigeo Tsujii3598131.15