Automorphism groups of cyclic codes

作者：Bienert Rolf; Klopsch Benjamin^*

来源：Journal of Algebraic Combinatorics, 2010, 31(1): 33-52.

DOI：10.1007/s10801-009-0179-y

• Binary cyclic codes
• Automorphism groups

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.

• 出版日期2010-2