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

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.
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https://hal.archives-ouvertes.fr/hal-01318315
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Submitted on : Thursday, May 19, 2016 - 2:35:13 PM
Last modification on : Wednesday, November 3, 2021 - 5:54:20 AM

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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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