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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…
Anticanonical codes from del Pezzo surfaces with Picard rank one
Régis Blache, Alain Couvreur, Emmanuel Hallouin +4
We construct algebraic geometric codes from del Pezzo surfaces and focus on the ones having Picard rank one and the codes associated to the anticanonical class. We give explicit co…
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…