On weight spaces of polynomial representations of the general linear group as linear codes

DOI10.1016/0097-3165(94)90001-9zbMath0817.94017OpenAlexW2072296116MaRDI QIDQ1331140

Karl-Heinz Zimmermann

Publication date: 8 August 1995

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

Full work available at URL: https://doi.org/10.1016/0097-3165(94)90001-9

zbMATH Keywords

weight spacesgeneral linear grouppolynomial representationssimplex codesbinary Reed-Muller codesmajority-logic decodable linear codes

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Cites Work

• Polynomial representations of \(GL_n\)
• The representation theory of the symmetric groups
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