Self-dual codes related to the Rudvalis group
Self-dual codes related to the Rudvalis group
复制标题
与 Rudvalis 群相关的自对偶代码
DOI：
10.1007/s00373-018-1912-x
复制
发表时间：
2018
影响因子：
0.7
通讯作者：
Masaaki Kitazume
中科院分区：
文献类型：
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作者：
Naoki Chigira;Masaaki Kitazume
本文证明了存在三个自对偶码，它们的自同构群与Rudvalis群同构直到等价。此外，我们将给出一些描述的码字跨越这些代码。特别地，我们将通过使用Rudvalis群的秩3图和Hoffman-Singleton图之间的关系来描述一些码字。
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.