Geodesic
On the permutation groups of cyclic codes
Journal of Algebraic Combinatorics, Tome 38 (2013) no. 1, pp. 197-208.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Keywords: permutation groups, transitive groups, doubly transitive groups, non-primitive BCH codes 
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     title = {On the permutation groups of cyclic codes},
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     language = {en},
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Guenda, Kenza; Gulliver, T.Aaron. On the permutation groups of cyclic codes. Journal of Algebraic Combinatorics, Tome 38 (2013) no. 1, pp. 197-208. http://geodesic.mathdoc.fr/item/JAC_2013__38_1_a1/