On the structure of cyclic codes over \(M_2(\mathbb{F}_{p}+u\mathbb{F}_{p})\)

DOI10.1007/s13226-021-00014-xzbMath1495.94130OpenAlexW3167923943MaRDI QIDQ2124836

Habibul Islam, Dipak Kumar Bhunia, Om Prakash

Publication date: 11 April 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-021-00014-x

zbMATH Keywords

cyclic codeself-dual codeoptimal codeGray mapmatrix ring

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items (1)

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

Uses Software

• Magma
• Code Tables

Cites Work

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• A study of cyclic and constacyclic codes over \(\mathbb Z_{4} + u\mathbb Z_{4} + v\mathbb Z_{4}\)
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• Quantum Codes from the Cyclic Codes Over $$\mathbb {F}_{p}[v,w/\langle v^{2}-1,w^{2}-1,vw-wv\rangle $$]
• Full-diversity, high-rate space-time block codes from division algebras
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• A note on skew constacyclic codes over 𝔽q + u𝔽q + v𝔽q
• A class of constacyclic codes over the ring Z4[u,v/<u2,v2,uv - vu> and their Gray images]
• Codes Over Matrix Rings for Space-Time Coded Modulations

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