### 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