On \(\mathbb Z_{4}\)-linear codes with the parameters of Reed-Muller codes

DOI10.1134/S0032946007010048zbMath1237.94137OpenAlexW1511348214MaRDI QIDQ415705

Faina I. Solov'eva

Publication date: 9 May 2012

Published in: Problems of Information Transmission (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0032946007010048

Mathematics Subject Classification ID

Combinatorial codes (94B25)

Related Items (4)

On the Automorphism Groups of the $$\mathbb{Z}_{2}\mathbb{Z}_{4}$$ -Linear Hadamard Codes and Their Classification ⋮ On weight distributions for a class of codes with parameters of Reed-Muller codes ⋮ Quaternary Plotkin Constructions and Quaternary Reed-Muller Codes ⋮ On intersections of Reed-Muller like codes

Cites Work

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• Applied algebra, algebraic algorithms and error-correcting codes. 18th international symposium, AAECC-18, Tarragona, Sapin, June 8--12, 2009. Proceedings
• A construction scheme for linear and non-linear codes
• Construction of noise-resistant codes by means of linear recurrences over Galois rings
• Quaternary Reed–Muller Codes
• On Z/sub 4/-linear preparata-like and kerdock-like codes
• A Generalized Parity Function and Its Use in the Construction of Perfect Codes
• Dual product constructions of Reed - Muller type codes (Corresp.)
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Z₄ -Kerdock Codes, Orthogonal Spreads, and Extremal Euclidean Line-Sets
• 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

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