Reversible \(G^k\)-codes with applications to DNA codes

DOI10.1007/s10623-022-01067-7OpenAlexW3189456235WikidataQ114849708 ScholiaQ114849708MaRDI QIDQ2153759

Adrian Korban, Deniz Ustun, Serap Sahinkaya

Publication date: 13 July 2022

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.02033

zbMATH Keywords

DNA codesgroup matrix ringsreversible \(G^k\)-codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Group rings (16S34)

Cites Work

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• Linear and nonlinear constructions of DNA codes with Hamming distance \(d\), constant GC-content and a reverse-complement constraint
• The Magma algebra system. I: The user language
• Bounds for DNA codes with constant GC-content
• Group rings, \(G\)-codes and constructions of self-dual and formally self-dual codes
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• New singly and doubly even binary \([72,36,12\) self-dual codes from \(M_2(R)G\)-group matrix rings]
• A novel approach for constructing reversible codes and applications to DNA codes over the ring \(\mathbb{F}_2 [u /(u^{2 k} - 1)\)]
• Construction of cyclic codes over \(\mathrm{GF}(4)\) for DNA computing
• Reversible \(G\)-codes over the ring \(\mathcal{F}_{j, k}\) with applications to DNA codes

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