A. Bonnecaze

activity

20132021

most citedOn the construction of elliptic Chudnovsky-type algorithms for multiplication in large extensions of finite fields

3 citations · 4 across the 3 of their papers we have counts for

collaborators

Showing 2020 · math.AGShow all

2 papers · 2 filters

math.AG2020

Optimization of the scalar complexity of Chudnovsky $^{2}$ multiplication algorithms in finite fields

Stephane Ballet, Alexis Bonnecaze, Thanh-Hung Dang

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 st…

math.AG2020

Multiplication in finite fields with Chudnovsky-type algorithms on the projective line

Stéphane Ballet, Alexis Bonnecaze, Bastien Pacifico

We propose a Recursive Polynomial Generic Construction (RPGC) of multiplication algorithms in any finite field $F_{q^{n}}$ based on the method of D.V. and G.V. Chudnovsky sp…

Optimization of the scalar complexity of Chudnovsky2 multiplication algorithms in finite fields

Multiplication in finite fields with Chudnovsky-type algorithms on the projective line

Optimization of the scalar complexity of Chudnovsky $^{2}$ multiplication algorithms in finite fields