6 citations · 6 across the 2 of their papers we have counts for
4 papers
Algebraic geometry codes and some applications
Alain Couvreur, Hugues Randriambololona
This article surveys the development of the theory of algebraic geometry codes since their discovery in the late 70's. We summarize the major results on various problems such as: a…
The quadratic hull of a code and the geometric view on multiplication algorithms
Hugues Randriambololona
We introduce the notion of quadratic hull of a linear code, and give some of its properties. We then show that any symmetric bilinear multiplication algorithm for a finite-dimensio…
On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry
Stéphane Ballet, Jean Chaumine, Julia Pieltant +3
In this paper, we give a survey of the known results concerning the tensor rank of the multiplication in finite extensions of finite fields, enriched with some not published recent…
On the tensor rank of multiplication in finite extensions of finite fields
Stéphane Ballet, Jean Chaumine, Julia Pieltant +1
In this paper, we give a survey of the known results concerning the tensor rank of the multiplication in finite fields and we establish new asymptotical and not asymptotical upper…