Orphan structure of the first-order Reed--Muller codes

DOI10.1016/0012-365X(92)90118-YzbMath0751.94008MaRDI QIDQ1193446

Richard A. Brualdi, Ning Cai, Vera S. Pless

Publication date: 27 September 1992

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

cosetsouter productorphansFirst-order Reed-Muller codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (5)

A coding theoretic approach to extending designs ⋮ 9-variable Boolean functions with nonlinearity 242 in the generalized rotation symmetric class ⋮ Rank formulas for certain products of matrices ⋮ Guest editorial: on coding theory and combinatorics -- in memory of Vera Pless ⋮ Classification of cosets of the Reed-Muller code \(R(m-3,m)\)

Cites Work

• Orphans of the first order Reed-Muller codes
• On the covering radius of codes
• The covering radius of the<tex>(2^{15}, 16)</tex>Reed-Muller code is at least 16276
• Weight distributions of the cosets of the (32,6) Reed-Muller code

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