Classification of cosets of the Reed-Muller code \(R(m-3,m)\)

DOI10.1016/0012-365X(94)90113-9zbMath0792.94007OpenAlexW2044105294MaRDI QIDQ1322184

Xiang-Dong Hou

Publication date: 5 May 1994

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

Full work available at URL: https://doi.org/10.1016/0012-365x(94)90113-9

zbMATH Keywords

automorphism groupcosetsReed-Muller code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (4)

\(GL(m,2)\) acting on \(R(r,m)/R(r-1,m)\) ⋮ Explicit evaluation of certain exponential sums of binary quadratic functions ⋮ Computing the number of affine equivalent classes on \(\mathcal{R}(s,n)/\mathcal{R}(k,n)\) ⋮ Testing Boolean Functions Properties

Cites Work

• Orphan structure of the first-order Reed--Muller codes
• The Covering Radius of the $(m - 3)$rd Order Reed Muller Codes and a Lower Bound on the $(m - 4)$th Order Reed Muller Codes
• Orphans of the first order Reed-Muller codes
• On the covering radius of codes
• Covering radius---Survey and recent results
• Weight distributions of the cosets of the (32,6) Reed-Muller code
• Binary linear quasi-perfect codes are normal
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