On the permutation groups of cyclic codes

被引：3

作者：

Guenda, Kenza ^{[1
]}

Gulliver, T. Aaron ^{[2
]}

机构：

[1] Univ Sci & Technol Algiers, Fac Math USTHB, Algiers, Algeria

[2] Univ Victoria, Dept Elect & Comp Engn, STN CSC, Victoria, BC V8W 3P6, Canada

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2013年 / 38卷 / 01期

关键词：

Permutation groups; Transitive groups; Doubly transitive groups; Non-primitive BCH codes; DOUBLY-TRANSITIVE GROUPS; OBJECTS;

D O I：

10.1007/s10801-012-0399-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify the permutation groups of cyclic codes over a finite field. As a special case, we find the permutation groups of non-primitive BCH codes of prime length. In addition, the Sylow p-subgroup of the permutation group is given for many cyclic codes of length p (m) . Several examples are given to illustrate the results.

引用

页码：197 / 208

页数：12

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