Optimization of the scalar complexity of Chudnovsky$^2$ multiplication algorithms in finite fields
Algebraic Geometry
2020-07-17 v1
Abstract
We propose several constructions for the original multiplication algorithm of D.V. and G.V. Chudnovsky in order to improve its scalar complexity. We highlight the set of generic strategies who underlay the optimization of the scalar complexity, according to parameterizable criteria. As an example, we apply this analysis to the construction of type elliptic Chudnovsky multiplication algorithms for small extensions. As a case study, we significantly improve the Baum-Shokrollahi construction for multiplication in .
Keywords
Cite
@article{arxiv.2007.08203,
title = {Optimization of the scalar complexity of Chudnovsky$^2$ multiplication algorithms in finite fields},
author = {Stephane Ballet and Alexis Bonnecaze and Thanh-Hung Dang},
journal= {arXiv preprint arXiv:2007.08203},
year = {2020}
}
Comments
25 pages, 0 figure