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.
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页码：197 / 208
页数：12
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