DNA codes from skew dihedral group ring

DOI10.3934/amc.2022076zbMATH Open1547.94478MaRDI QIDQ6584312

Adrian Korban, Serap Sahinkaya, Deniz Ustun, Steven T. Dougherty

Publication date: 6 August 2024

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

zbMATH Keywords

linear codesgroup ringsskew group ringsDNA codesdihedral codes\(G\)-codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15)

Cites Work

• Linear and nonlinear constructions of DNA codes with Hamming distance \(d\), constant GC-content and a reverse-complement constraint
• Skew-cyclic codes
• The Magma algebra system. I: The user language
• Group rings, \(G\)-codes and constructions of self-dual and formally self-dual codes
• Reversible DNA codes using skew polynomial rings
• Linear constructions for DNA codes
• On conflict free DNA codes
• Maximal entanglement-assisted quantum error correction codes from the skew group ring \(\mathbb{F}_4\rtimes_\varphi G\) by a heuristic search scheme
• Reversible \(G^k\)-codes with applications to DNA codes
• Designing DNA codes from reversible self-dual codes over \(\mathrm{GF}(4)\)
• Construction of cyclic codes over \(\mathrm{GF}(4)\) for DNA computing
• Improved Lower Bounds for Constant GC-Content DNA Codes
• Hairpin Structures in DNA Words
• Reversible codes
• Construction of DNA Codes From Composite Matrices and a Bio-Inspired Optimization Algorithm

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