On cyclic DNA codes over \({\mathbb {F}}_2+u{\mathbb {F}}_2\)

DOI10.1007/s12190-015-0892-8zbMath1358.94099OpenAlexW341498991MaRDI QIDQ295431

Jing Liang, Liqi Wang

Publication date: 13 June 2016

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

Full work available at URL: https://doi.org/10.1007/s12190-015-0892-8

zbMATH Keywords

cyclic codescyclic DNA codesreversible cyclic codes

Mathematics Subject Classification ID

Protein sequences, DNA sequences (92D20) Cyclic codes (94B15)

Related Items (10)

DNA codes over two noncommutative rings of order four ⋮ Cyclic DNA codes over the ring \(\mathbb {F}_2+u\mathbb {F}_2+v\mathbb {F}_2+uv\mathbb {F}_2+v^2\mathbb {F}_2+uv^2\mathbb {F}_2\) ⋮ Cyclic DNA codes over \(\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2\) and their applications ⋮ Reversible complement cyclic codes over ℤ4 + uℤ4 + vℤ4 for DNA computing ⋮ Unnamed Item ⋮ DNA cyclic codes over the ring 𝔽2[u,v/〈u2 − 1,v3 − v,uv − vu〉] ⋮ ON THE REVERSE AND REVERSE COMPLEMENT CODES OVER THE FINITE RING F_4+uF_4+ u^2F_4 ⋮ Construction of reversible self-dual codes ⋮ On cyclic DNA codes over \(F_2+uF_2+u^2F_2\) ⋮ Cyclic DNA codes over the ring $\mathbb{Z}_4+u\mathbb{Z}_4+u^2\mathbb{Z}_4$

Cites Work

• Unnamed Item
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• Cyclic codes over \(\mathbb F_2[u/(u^4-1)\) and applications to DNA codes]
• Cyclic DNA codes over the ring \(F_2[u/(u^2-1)\) based on the deletion distance]
• Bounds for DNA codes with constant GC-content
• Linear constructions for DNA codes
• Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
• Construction of cyclic codes over \(\mathbb F_2 + u\mathbb F_2\) for DNA computing
• Construction of cyclic codes over \(\mathrm{GF}(4)\) for DNA computing
• Decoding of cyclic codes over F/sub 2/+uF/sub 2/
• Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/
• Reversible codes

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