A note on self-dual group codes

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2002 English Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Information Theory, volume 48, pages 3,107-3,109 (issn: 0018-9448,

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Authors: Wolfgang Willems;

doi: 10.1109/tit.2002.805076

A note on self-dual group codes

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Abstract

Summary: 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 nondegenerate bilinear form given on group algebras.

Related Organizations

Otto-von-Guericke University Magdeburg
Germany

Keywords

Group rings, Geometric methods (including applications of algebraic geometry) applied to coding theory

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