, Volume 38, Issue 1, pp 197-208

On the permutation groups of cyclic codes

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Abstract

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.