On self-dual affine-invariant codes

DOI10.1016/0097-3165(94)90014-0zbMath0817.94021OpenAlexW2087156340MaRDI QIDQ1331136

Pascale Charpin, Françoise Levy-dit-Vehel

Publication date: 8 August 1995

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/inria-00074828/file/RR-1844.pdf

zbMATH Keywords

self-dual codeReed-Muller codebinary self-dual affine-invariant codes

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items

Self-dual codes which are principal ideals of the group algebra \(\mathbb{F}_ 2[\{\mathbb{F}_{2^ m},+\}\)], Group code structures of affine-invariant codes, Some algebraic questions about the Reed-Muller code, On the classification of the extremal self-dual codes over small fields with 2-transitive automorphism groups, Enumeration of certain affine invariant extended cyclic codes

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