19 search results - page 3 / 4 » Group Law Computations on Jacobians of Hyperelliptic Curves |
ISSAC
1995
Springer
13 years 8 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) · · ...
MOC
2000
13 years 4 months ago
2000
Abstract. There has been important progress in constructing units and Sunits associated to curves of genus 2 or 3. These approaches are based mainly on the consideration of propert...
ANTS
2010
Springer
13 years 8 months ago
2010
Springer
Abstract. We answer a question asked by Hajdu and Tengely: The only arithmetic progression in coprime integers of the form (a2 , b2 , c2 , d5 ) is (1, 1, 1, 1). For the proof, we ...
CTRSA
2006
Springer
13 years 8 months ago
2006
Springer
The most important and expensive operation in a hyperelliptic curve cryptosystem (HECC) is scalar multiplication by an integer k, i.e., computing an integer k times a divisor D on ...
ASIACRYPT
2003
Springer
13 years 10 months ago
2003
Springer
The best practical algorithm for class group computations in imaginary quadratic number fields (such as group structure, class number, discrete logarithm computations) is a varian...