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arXiv · 1601.00126

On some bounds for symmetric tensor rank of multiplication in finite fields

Stéphane Ballet·Julia Pieltant·Matthieu Rambaud·Jeroen Sijsling
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Abstract

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 examples of Shimura curves that do not descend over their field of moduli, which discusses the validity of certain published bounds.

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Stéphane Ballet, Julia Pieltant, Matthieu Rambaud, Jeroen Sijsling. 2017-06-12. On some bounds for symmetric tensor rank of multiplication in finite fields. https://arxiv.org/abs/1601.00126

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