Self-Dual Codes Related to the Rudvalis Group

被引:0
作者
Naoki Chigira
Masaaki Kitazume
机构
[1] Kumamoto University,Department of Mathematics
[2] Chiba University,Department of Mathematics and Informatics
来源
Graphs and Combinatorics | 2018年 / 34卷
关键词
Self-dual code; Automorphism group; The Rudvalis group; 94B05; 20B25;
D O I
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中图分类号
学科分类号
摘要
In this note, we will show that there exist exactly three self-dual codes with the automorphism group isomorphic to the Rudvalis group up to equivalence. Furthermore we will give some descriptions of codewords which span these codes. Especially, we will describe some codewords by using a relation between the rank 3 graph of the Rudvalis group and the Hoffman–Singleton graph.
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页码:769 / 775
页数:6
相关论文
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