On the permutation groups of cyclic codes |
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| Authors: | Kenza Guenda T. Aaron Gulliver |
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| Affiliation: | 1. Faculty of Mathematics USTHB, University of Science and Technology of Algiers, Algiers, Algeria
2. Department of Electrical and Computer Engineering, University of Victoria, PO Box 3055, STN CSC, Victoria, BC, V8W 3P6, Canada
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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. |
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