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2002-05

A Note on Self-Dual Group Codes

by Willems, W..


Series: 2002-05, Preprints

MSC:
94B05 Linear codes, general
20C20 Modular representations and characters

Abstract:
In this paper we classify group algebras over Galois rings containing self-dual ideals; i.e., ideals $C$ which satisfy $C=C^\perp$ with respect to the natural non-degenerate bilinear form given on group algebras.

Keywords:
Ideals in group algebras, self-dual codes, self-dual modules, codes over Galois rings