MacWilliams identities of linear codes over the ring \(\mathbb F_2 + u\mathbb F_2 + v\mathbb F_2\)

DOI10.1007/S11424-015-2246-XzbMath1336.94086OpenAlexW2159989009MaRDI QIDQ904946

Hualu Liu, Xiu-sheng Liu

Publication date: 14 January 2016

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-015-2246-x

zbMATH Keywords

linear codesMacWilliams identitiesGray mapdual codescomplete weight enumeratorsLee weight enumerators

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (1)

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Cites Work

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• Linear codes over \({\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2}\)
• Über die Identität von MacWilliams für die Gewichtsfunktion von Codes
• Duality for modules over finite rings and applications to coding theory
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Shadow bounds for self-dual codes
• Type II codes over F/sub 2/+uF/sub 2/
• An upper bound for self-dual codes

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