15 search results - page 3 / 3 » Twists of genus three curves over finite fields |
JOC
2006
13 years 6 months ago
2006
We present an algorithm to compute the zeta function of an arbitrary hyperelliptic curve over a finite field Fq of characteristic 2, thereby extending the algorithm of Kedlaya for ...
MOC
2002
13 years 5 months ago
2002
We provide a subexponential algorithm for solving the discrete logarithm problem in Jacobians of high-genus hyperelliptic curves over finite fields. Its expected running time for i...
ITCC
2005
IEEE
13 years 11 months ago
2005
IEEE
Recently, a lot of effort has been done to investigate all kinds of explicit formulae for speeding up group operation of hyperelliptic curve cryptosystem (HECC). In this paper, ex...
ALGORITHMICA
2006
13 years 6 months ago
2006
It has been suggested that a major obstacle in finding an index calculus attack on the elliptic curve discrete logarithm problem lies in the difficulty of lifting points from ellip...
ENC
2004
IEEE
13 years 10 months ago
2004
IEEE
We present a hardware architecture for an Elliptic Curve Cryptography System performing the three basic cryptographic schemes: DH key generation, encryption and digital signature....