SOME DESIGNS AND CODES INVARIANT UNDER THE TITS GROUP

Moori Jamshid; Saeidi Amin

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SOME DESIGNS AND CODES INVARIANT UNDER THE TITS GROUP

机译：在山雀组下的一些设计和代码不变

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摘要

In this paper, we construct some designs and associated binary codes from a primitive permutation representation of degree 1755 of the sporadic simple Tits group F-2(4) (2)'. In particular, we construct a binary code [1755, 26, 102412 on which F-2(4) (2)' acts irreducibly. This is the smallest nontrivial irreducible GF(2)-module for our group.

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来源
《Advances in mathematics of communications》 |2017年第1期|共6页
作者
Moori Jamshid; Saeidi Amin;
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作者单位

North West Univ Mafikeng Sch Math Sci Mmabatho South Africa;

North West Univ Mafikeng Sch Math Sci Mmabatho South Africa;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Tits group; symmetric designs; primitive permutation representations; linear codes; irreducible G-modules.;

机译：山雀组;对称设计;原始置换表示;线性码;不可缩小的G模块。;

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SOME DESIGNS AND CODES INVARIANT UNDER THE TITS GROUP

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