Codes autoduaux principaux et groupe d'automorphismes de l'algèbre \(A=F_{2^r}[X_1,-,X_n]/(X_1^2-1,-,X_n^2-1)\)

DOI10.1016/S0195-6698(81)80010-8zbMath0491.94017OpenAlexW2029807093MaRDI QIDQ1167702

M. Ventou, Alain Poli

Publication date: 1981

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(81)80010-8

zbMATH Keywords

automorphism groupgroup algebraprincipal idealsidealsselfdual codesReed-Muller-Codes

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear codes (general theory) (94B05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (3)

Ideaux principaux nilpoitnis de dimension maximale dans l'algebre F_q[G d'un groupe abelien fini g] ⋮ Important algebraic calculations for \(n\)-variables polynomial codes ⋮ Automorphisms of principal nilpotent self-dual codes in certain modular algebras

Cites Work

• On the theory of group codes
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