The BEL-rank of finite semifields

Lavrauw Michel; Sheekey John

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The BEL-rank of finite semifields

机译：有限半场的BEL级

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摘要

In this article we introduce the notion of the BEL-rank of a finite semifield, prove that it is an invariant for the isotopism classes, and give geometric and algebraic interpretations of this new invariant. Moreover, we describe an efficient method for calculating the BEL-rank, and present computational results for all known small semifields.

机译：在本文中，我们介绍了一个有限半域的BEL-rank的概念，证明它是同构类的不变式，并给出了这个新不变式的几何和代数解释。此外，我们描述了一种计算BEL秩的有效方法，并给出了所有已知小半场的计算结果。

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来源
《Designs, Codes and Crytography》 |2017年第3期|345-358|共14页
作者
Lavrauw Michel; Sheekey John;
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作者单位

Univ Padua, Vicenza, Italy;

Univ Coll Dublin, Dublin, Ireland;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Finite semifield; Finite algebra; BEL-configuration;

机译：有限半场;有限代数;BEL构型;

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2. Some recent directions in finite semifields [J] . Wene Gregory P. Journal of knot theory and its ramifications . 2018,第7期

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3. Idempotence of finitely generated commutative semifields [J] . Kala Vitezslav, Korbelar Miroslav Forum mathematicum . 2018,第6期

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4. Finite Semifields: a Brief History and Current Directions [C] . Gregory P. Wene International Conference "Functional Analysis in Interdisciplinary Applications" . 2017

机译：有限半导体：简要历史和当前方向
5. Commutative semifields of odd order and planar Dembowski-Ostrom polynomials. [D] . Kosick, Pamela. 2010

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7. The BEL-rank of finite semifields [O] . Lavrauw, Michel, Sheekey, John 2016

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8. Finite Element, Finite Difference, and Finite Volume Methods: Examples and theirComparisons [R] . Soln, J. Z. 1996

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The BEL-rank of finite semifields

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