Group code structures of affine-invariant codes

DOI10.1016/j.jalgebra.2010.08.021zbMath1211.94053OpenAlexW1540333449MaRDI QIDQ630855

José Joaquín Bernal, Juan Jacobo Simón, Ángel Del Río

Publication date: 22 March 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.08.021

zbMATH Keywords

coding theory, group codes, permutation automorphism group

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Other types of codes (94B60)

Cites Work

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• An intrinsical description of group codes
• On self-dual affine-invariant codes
• Enumeration of certain affine invariant extended cyclic codes
• Set-theoretical solutions to the quantum Yang-Baxter equation
• Involutive Yang-Baxter groups
• The permutation group of affine-invariant extended cyclic codes
• New generalizations of the Reed-Muller codes--I: Primitive codes
• Some results on cyclic codes which are invariant under the affine group and their applications
• On cyclic codes that are invariant under the general linear group