Cyclic codes over \(M_{2}(\mathbb {F}_{2}+u\mathbb {F}_{2})\)

DOI10.1007/s12095-017-0266-1zbMath1419.94078OpenAlexW2773146287MaRDI QIDQ1667451

Rong Luo, Udaya Parampalli

Publication date: 28 August 2018

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-017-0266-1

zbMATH Keywords

cyclic codesGray mapLee weightBachoc weight

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15)

Related Items (3)

On the structure of cyclic codes over \(M_2(\mathbb{F}_{p}+u\mathbb{F}_{p})\) ⋮ Cyclic codes over \(\mathcal M_4(\mathbb F_2)\) ⋮ Cyclic codes over \(M_4 (\mathbb{F}_2+u\mathbb{F}_2)\)

Cites Work

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• Applications of coding theory to the construction of modular lattices
• Cyclic codes over \({\mathbb{F}}_2 + u{\mathbb{F}}_2 + v{\mathbb{F}}_2 + uv{\mathbb{F}}_2\)
• Cyclic codes over \(M_2(\mathbb F_2)\)
• Duality for modules over finite rings and applications to coding theory
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/
• Codes Over Matrix Rings for Space-Time Coded Modulations

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