On a generalization of lifted polynomials over finite fields and their applications to DNA codes

DOI10.1080/00207160.2014.930449zbMath1349.94128OpenAlexW2088357423WikidataQ58473312 ScholiaQ58473312MaRDI QIDQ3451410

Siap, Irfan, Elif Segah Oztas

Publication date: 16 November 2015

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2014.930449

zbMATH Keywords

linear codesDNA codesreversible codeslifted polynomials

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cryptography (94A60) Protein sequences, DNA sequences (92D20) Prefix, length-variable, comma-free codes (94A45)

Related Items (7)

A novel approach for constructing reversible codes and applications to DNA codes over the ring \(\mathbb{F}_2 [u /(u^{2 k} - 1)\)] ⋮ New computational and statistical models in science and economics ⋮ Reversible DNA codes using skew polynomial rings ⋮ Cyclic codes over \(\mathbb{F}_2 +u\mathbb{F}_2 +v\mathbb{F}_2 +v^2 \mathbb{F}_2\) with respect to the homogeneous weight and their applications to DNA codes ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Cyclic codes over \(\mathbb F_2[u/(u^4-1)\) and applications to DNA codes]
• Linear and nonlinear constructions of DNA codes with Hamming distance \(d\), constant GC-content and a reverse-complement constraint
• Exordium for DNA codes
• Linear constructions for DNA codes
• Construction of cyclic codes over \(\mathrm{GF}(4)\) for DNA computing
• Lifted polynomials over F16 and their applications to DNA codes
• Reversible codes

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