Quaternary Plotkin Constructions and Quaternary Reed-Muller Codes

DOI10.1007/978-3-540-77224-8_19zbMath1180.94078OpenAlexW2161141972MaRDI QIDQ5386088

Josep Rifà, Faina I. Solov'eva, Jaume Pujol

Publication date: 17 April 2008

Published in: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-77224-8_19

zbMATH Keywords

Reed-Muller codesPlotkin constructionsQuaternary codesZ4-linear codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (2)

Characterization of the automorphism group of quaternary linear Hadamard codes ⋮ Minimum weight bases for quaternary Reed-Muller codes

Cites Work

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• On \(\mathbb Z_{4}\)-linear codes with the parameters of Reed-Muller codes
• Quaternary Reed–Muller Codes
• ZRM Codes
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Translation-invariant propelinear codes
• The Reed-Muller code R(r,m) is not Z/sub 4/-linear for 3≤r≤m-2
• A characterization of 1-perfect additive codes
• Quaternary quadratic residue codes and unimodular lattices

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