31 citations · 48 across the 6 of their papers we have counts for
7 papers
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 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…
Tower of algebraic function fields with maximal Hasse-Witt invariant and tensor rank of multiplication in any extension of and
Stéphane Ballet, Julia Pieltant
Up until now, it was recognized that a large number of 2-torsion points was a technical barrier to improve the bounds for the symmetric tensor rank of multiplication in every exten…
Shimura modular curves and asymptotic symmetric tensor rank of multiplication in any finite field
Stéphane Ballet, Jean Chaumine, Julia Pieltant
We obtain new asymptotical bounds for the symmetric tensor rank of multiplication in any finite extension of any finite field $\F_q$. In this aim, we use the symmetric Chudnovsky-t…
New uniform and asymptotic upper bounds on the tensor rank of multiplication in extensions of finite fields
Julia Pieltant, Hugues Randriam
We obtain new uniform upper bounds for the (non necessarily symmetric) tensor rank of the multiplication in the extensions of the finite fields $\F_q$ for any prime or prime power…
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…
On the tensor rank of multiplication in any extension of $\F_2$
Stéphane Ballet, Julia Pieltant
In this paper, we obtain new bounds for the tensor rank of multiplication in any extension of $\F_2$. In particular, it also enables us to obtain the best known asymptotic bound. I…