85 search results - page 5 / 17 » Factorization with genus 2 curves |
ISSAC
1995
Springer
13 years 11 months ago
1995
Springer
Abstract. In this paper we derive an algorithm that computes, for a given algebraic hyperelliptic plane curve C of genus p, p > 1, defined by a polynomial y2 = (x−λ1) · · ...
ANTS
2008
Springer
13 years 9 months ago
2008
Springer
We discuss arithmetic in the Jacobian of a hyperelliptic curve C of genus g. The traditional approach is to fix a point P C and represent divisor classes in the form E - d(P) wher...
CHES
2003
Springer
14 years 21 days ago
2003
Springer
For most of the time since they were proposed, it was widely believed that hyperelliptic curve cryptosystems (HECC) carry a substantial performance penalty compared to elliptic cur...
IACR
2011
12 years 7 months ago
2011
We derive an explicit method of computing the composition step in Cantor’s algorithm for group operations on Jacobians of hyperelliptic curves. Our technique is inspired by the g...
ISCAS
2007
IEEE
14 years 1 months ago
2007
IEEE
Abstract— This work describes the smallest known hardware implementation for Elliptic/Hyperelliptic Curve Cryptography (ECC/HECC). We propose two solutions for Publickey Cryptogr...