Primitive idempotents in group algebras and minimal abelian codes

DOI10.1007/s12190-014-0821-2zbMath1371.94696OpenAlexW2041757155MaRDI QIDQ499967

Fengwei Li

Publication date: 7 October 2015

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-014-0821-2

zbMATH Keywords

finite fieldabelian codeprimitive idempotent

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Group rings (16S34) Other types of codes (94B60)

Cites Work

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• Minimal codes of prime-power length.
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• Cyclic codes of length \(2^m\)
• Minimal cyclic codes of length \(p^{n} q\).
• The primitive idempotents of a cyclic group algebra. II.
• Abelian Codes in Principal Ideal Group Algebras
• Transform domain characterization of abelian codes
• Permutation decoding of abelian codes
• Binary Codes Which Are Ideals in the Group Algebra of an Abelian Group
• On the theory of group codes
• A class of minimal cyclic codes over finite fields

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