Reversible \(G\)-codes over the ring \(\mathcal{F}_{j, k}\) with applications to DNA codes

DOI10.3934/amc.2021056OpenAlexW4205246332MaRDI QIDQ6047437

Deniz Ustun, Adrian Korban, Abdullah Dertli, Yasemin Cengellenmis, Steven T. Dougherty, Serap Sahinkaya

Publication date: 12 September 2023

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2021056

zbMATH Keywords

group codeslinear codescodes over ringsDNA codesgray maps

Mathematics Subject Classification ID

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

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• Reversible \(G\)-codes over the ring \(\mathcal{F}_{j, k}\) with applications to DNA codes
• New type I binary \([72, 36, 12\) self-dual codes from composite matrices and \(R_1\) lifts]

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