Tower of algebraic function fields with maximal Hasse-Witt invariant and tensor rank of multiplication in any extension of ${\mathbb{F}}_2$ and ${\mathbb{F}}_3$

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…