Automorphism groups of cyclic codes

Details Automorphism groups of cyclic codes Automorphism groups of cyclic codes

2008-10-19

arxiv.org/abs/0810.3440v2

Mathematics

Combinatorics

19 pages, minor orthographical and grammatical corrections

Scientific paper

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.

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