DNA codes over finite local Frobenius non-chain rings of length 4

DOI10.1016/j.disc.2021.112404zbMath1469.94153OpenAlexW3156728002MaRDI QIDQ2032725

C. Álvarez-García, C. A. Castillo-Guillén

Publication date: 14 June 2021

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112404

zbMATH Keywords

constacyclic codesnon-chain ringsDNA codesreversible codesFrobenius local rings

Mathematics Subject Classification ID

Cyclic codes (94B15) Local rings and semilocal rings (13H99)

Cites Work

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• Codes over \(\mathbb F_{4}+v\mathbb F_4\) and some DNA applications
• Constacyclic codes over finite local Frobenius non-chain rings with nilpotency index 3
• Cyclic codes over \(\mathbb F_2[u/(u^4-1)\) and applications to DNA codes]
• Cyclic DNA codes over the ring \(F_2[u/(u^2-1)\) based on the deletion distance]
• Duals of constacyclic codes over finite local Frobenius non-chain rings of length 4
• Linear constructions for DNA codes
• The dual of a constacyclic code, self dual, reversible constacyclic codes and constacyclic codes with complementary duals over finite local Frobenius non-chain rings with nilpotency index 3
• Construction of cyclic codes over \(\mathrm{GF}(4)\) for DNA computing

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