3 papers
math.AG2019
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…
cs.IT2016
On some bounds for symmetric tensor rank of multiplication in finite fields
Stéphane Ballet, Julia Pieltant, Matthieu Rambaud +1
We establish new upper bounds about symmetric bilinear complexity in any extension of finite fields. Note that these bounds are not asymptotical but uniform. Moreover we give examp…
math.AG2011
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…