Cyclic codes over \(M_4 (\mathbb{F}_2+u\mathbb{F}_2)\)

DOI10.1007/S12095-022-00572-9zbMath1498.94103OpenAlexW4220988456MaRDI QIDQ2088947

Om Prakash, Shikha Patel, Habibul Islam

Publication date: 6 October 2022

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

Full work available at URL: https://doi.org/10.1007/s12095-022-00572-9

zbMATH Keywords

cyclic codesGray mapmatrix ringnoncommutative non-chain ring

Mathematics Subject Classification ID

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

Uses Software

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Cites Work

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• Applications of coding theory to the construction of modular lattices
• Cyclic codes over \(M_{2}(\mathbb {F}_{2}+u\mathbb {F}_{2})\)
• 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 the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
• 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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