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1. Symmetric semisimple modules of group algebras over finite fields and self-dual permutation codes

Author

Fan, Yun and Jin, Ping

Subjects
*MATHEMATICAL symmetry, *MODULES (Algebra), *FINITE fields, *PERMUTATIONS, *FINITE groups, *BILINEAR forms, *ORTHOGONAL decompositions
Abstract

Abstract: A module of a finite group over a finite field with a symmetric non-degenerate bilinear form which is invariant by the group action is called a symmetric module. In this paper, a characterization of indecomposable orthogonal decompositions of symmetric semisimple modules and a criterion for the hyperbolic symmetric modules are obtained, and some applications to the self-dual permutation codes are shown. [Copyright &y& Elsevier]

Published
2012
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