Self-dual Permutation Codes of Finite Groups in Semisimple Case

preprint2012arXivOpen access

Abstract

The existence and construction of self-dual codes in a permutation module of a finite group for the semisimple case are described from two aspects, one is from the point of view of the composition factors which are self-dual modules, the other one is from the point of view of the Galois group of the coefficient field.

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