On the tensor rank of the multiplication in the finite fields-Reference-Cited by-同舟云学术

On the tensor rank of the multiplication in the finite fields

Published:2008-06 Issue:6 Volume:128 Page:1795-1806
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Ballet Stéphane

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference22 articles.

1. Curves with many points and multiplication complexity in any extension of Fq;Ballet;Finite Fields Appl.,1999

2. Low increasing tower of algebraic function fields and bilinear complexity of multiplication in any extension of Fq;Ballet;Finite Fields Appl.,2003

3. An improvement of the construction of the D.V. and G.V. Chudnovsky algorithm for multiplication in finite fields;Ballet;Theoret. Comput. Sci.,2006

4. Multiplication algorithm in a finite field and tensor rank of the multiplication;Ballet;J. Algebra,2004

5. S. Ballet, D. Le Brigand, R. Rolland, The definition field of a tower of function fields and applications, Arithmetic, Geometry and Coding Theory 2005 (AGCT 10), Société Mathématique de France, Séminaires et Congrés, in press

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry;Russian Mathematical Surveys;2021-02-01

2. Normal Bases on Galois Ring Extensions;Symmetry;2018-12-03

3. Gaps between prime numbers and tensor rank of multiplication in finite fields;Designs, Codes and Cryptography;2018-11-19

4. Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields;Designs, Codes and Cryptography;2018-10-01

5. On the construction of elliptic Chudnovsky-type algorithms for multiplication in large extensions of finite fields;Journal of Algebra and Its Applications;2015-09-07