On the tensor rank of multiplication in finite extensions of finite fields

Stéphane Ballet; Jean Chaumine; Julia Pieltant; Robert Rolland

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arXiv · 1107.1184

On the tensor rank of multiplication in finite extensions of finite fields

Stéphane Ballet·Jean Chaumine·Julia Pieltant·Robert Rolland

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Abstract

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 bounds about it.

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Stéphane Ballet, Jean Chaumine, Julia Pieltant, Robert Rolland. 2011-07-12. On the tensor rank of multiplication in finite extensions of finite fields. https://arxiv.org/abs/1107.1184

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