Reversible cyclic codes over some finite rings and their application to DNA codes

DOI10.1007/s40314-021-01635-yzbMath1476.94041OpenAlexW3199977938MaRDI QIDQ2052267

Om Prakash, Shikha Patel, Shikha Yadav

Publication date: 25 November 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-021-01635-y

zbMATH Keywords

Hamming distancecyclic codesdual codegenerator polynomialreversible cyclic codereversible-complement cyclic code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other types of codes (94B60) Cyclic codes (94B15)

Related Items (2)

On reversible codes over a non-chain ring ⋮ Unnamed Item

Uses Software

• Magma

Cites Work

• Unnamed Item
• On cyclic codes with minimal generating sets over the ring \(\mathbb{Z}_{p^k}\)
• A study of cyclic and constacyclic codes over \(\mathbb Z_{4} + u\mathbb Z_{4} + v\mathbb Z_{4}\)
• Cyclic codes over a non-chain ring \(R_{e,q}\) and their application to LCD codes
• Reversible complement cyclic codes over Galois rings with application to DNA codes
• Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
• On the generators of Z/sub 4/ cyclic codes of length 2/sup e/
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Construction of reversible cyclic codes over ℤ_pk
• Reversible codes
• On the minimum distance of certain reversible cyclic codes (Corresp.)

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