Empirical optimization of divisor arithmetic on hyperelliptic curves over $\mathbb{F}

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Empirical optimization of divisor arithmetic on hyperelliptic curves over $\mathbb{F}_{2^m}$

Published:2013-10 Issue:4 Volume:7 Page:485-502
ISSN:1930-5346
Container-title:Advances in Mathematics of Communications
language:en
Short-container-title:AMC

Author:

Jacobson, Jr. Michael,Imbert Laurent

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory

Reference25 articles.

1. Efficient divisor reduction on hyperelliptic curves,;R. Avanzi;Adv. Math. Commun.,2010

2. Computing in the Jacobian of a hyperelliptic curve,;D. G. Cantor;Math. Comp.,1987

3. A Course in Computational Algebraic Number Theory,;H. Cohen;Springer,1996

4. Handbook of Elliptic and Hyperelliptic Curve Cryptography,;H. Cohen;Chapman & Hall/CRC,2006

5. Group law computations on jacobians of hyperelliptic curves,;C. Costello;in Selected Areas in Cryptography,2011

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A calculus for monomials in Chow group of zero cycles in the moduli space of stable curves;ACM Communications in Computer Algebra;2020-09

2. Improved divisor arithmetic on generic hyperelliptic curves;ACM Communications in Computer Algebra;2020-09

3. Balanced NUCOMP;Computer Algebra in Scientific Computing;2020

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