Towards the classification of rank 2 semifields 6-dimensional over their center

Giuseppe Marino; Olga Polverino; Rocco Trombetti

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Towards the classification of rank 2 semifields 6-dimensional over their center

机译：走向2维半场在其中心的6维分类

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摘要

Semifields 6-dimensional over the center IF-q, having at least one nucleus of order q~3 and at least one of the remaining nuclei of order q~2, are partitioned into non-empty mutually non-isotopic classes. Also, for each class a canonical form for the multiplication is presented.

机译：在中心IF-q上的6维半场具有至少一个q-3级的原子核和至少一个q-2级的其余原子核中的一个，被划分为非空的互非同位素类。同样，对于每个类别，提出了乘法的规范形式。

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来源
《Designs, Codes and Crytography》 |2011年第1期|p.11-29|共19页
作者
Giuseppe Marino; Olga Polverino; Rocco Trombetti;
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作者单位

Dipartimento di Matematica, Seconda Universita degli Studi di Napoli, 81100 Caserta, Italy;

Dipartimento di Matematica, Seconda Universita degli Studi di Napoli, 81100 Caserta, Italy;

Dipartimento di Matematica e Applicazioni, Universita degli Studi di Napoli "Federico Ⅱ",80126 Napoli, Italy;

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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
semifield; spread set; isotopy;

机译：半场;扩展集;同位素;

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1. Towards the classification of rank 2 semifields 6-dimensional over their center [J] . Giuseppe Marino, Olga Polverino, Rocco Trombetti Designs, Codes and Cryptography . 2011,第1期

机译：走向2维半场在其中心的6维分类
2. The isotopism problem of a class of 6-dimensional rank 2 semifields and its solution [J] . Lavrauw M., Marino G., Polverino O., Finite fields and their applications . 2015,第jula期

机译：一类6维2级半场的同构问题及其解
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7. The isotopism problem of a class of 6-dimensional rank 2 semifields and its solution [O] . Lavrauw, M., Marino, G, Polverino, O., 2015

机译：一类6维2级半场的同构问题及其解

Towards the classification of rank 2 semifields 6-dimensional over their center

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