On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry

In this paper, we give a survey of the known results concerning the tensor rank of multiplication in finite extensions of finite fields, enriched with some unpublished recent results, and we analyze these to enhance the qualitative understanding of the research area. In particular, we identify and c...

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Veröffentlicht in:	Russian mathematical surveys 2021-02, Vol.76 (1), p.29-89
Hauptverfasser:	Ballet, S., Pieltant, J., Rambaud, M., Randriambololona, H., Rolland, R., Chaumine, J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Algebraic Geometry Fields (mathematics) Information Theory Mathematical analysis Mathematics Multiplication Number theory Numbers Physical Sciences Qualitative analysis Science & Technology Tensors
Online-Zugang:	Volltext
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