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Book Sections Year : 2017

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

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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 discuss the validity of certain published bounds.

Dates and versions

hal-01318315 , version 1 (19-05-2016)

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Stéphane Ballet, Julia Pieltant, Matthieu Rambaud, Jeroen Sijsling. On some bounds for symmetric tensor rank of multiplication in finite fields. Alp Bassa, Alain Couvreur and David Kohel. ARITHMETIC, GEOMETRY, CRYPTOGRAPHY AND CODING THEORY, 686, AMER MATHEMATICAL SOC, pp.93 - 121, 2017, Contemporary Mathematics, 978-1-4704-2810-5. ⟨10.1090/conm/686/13779⟩. ⟨hal-01318315⟩
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