Automorphism groups of cyclic codes
Journal of Algebraic Combinatorics, Tome 31 (2010) no. 1, pp. 33-52.

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Summary: In this article we study the automorphism groups of binary cyclic codes. In particular, we provide explicit constructions for codes whose automorphism groups can be described as (a) direct products of two symmetric groups or (b) iterated wreath products of several symmetric groups. Interestingly, some of the codes we consider also arise in the context of regular lattice graphs and permutation decoding.
Keywords: keywords binary cyclic codes, automorphism groups
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Bienert, Rolf; Klopsch, Benjamin. Automorphism groups of cyclic codes. Journal of Algebraic Combinatorics, Tome 31 (2010) no. 1, pp. 33-52. http://geodesic.mathdoc.fr/item/JAC_2010__31_1_a6/