Linear and nonlinear constructions of DNA codes with Hamming distance \(d\), constant GC-content and a reverse-complement constraint

DOI10.1016/J.DISC.2011.11.021zbMath1233.94037OpenAlexW2055688407MaRDI QIDQ764895

Derek H. Smith, Stephanie Perkins, Niema Aboluion

Publication date: 16 March 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2011.11.021

zbMATH Keywords

linear codesnonlinear codesDNA codesconstant GC-contentreverse-complement constraint

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other types of codes (94B60)

Related Items (10)

A novel approach for constructing reversible codes and applications to DNA codes over the ring \(\mathbb{F}_2 [u /(u^{2 k} - 1)\)] ⋮ On a generalization of lifted polynomials over finite fields and their applications to DNA codes ⋮ Reversible \(G^k\)-codes with applications to DNA codes ⋮ Quasi-cyclic codes: algebraic properties and applications ⋮ Reversible complement cyclic codes over Galois rings with application to DNA codes ⋮ Unnamed Item ⋮ Construction of DNA codes by using algebraic number theory ⋮ Construction of single-deletion-correcting DNA codes using CIS codes ⋮ Designing DNA codes from reversible self-dual codes over \(\mathrm{GF}(4)\) ⋮ Greedy construction of DNA codes and new bounds

Uses Software

• Code Tables

Cites Work

• Unnamed Item
• Linear and nonlinear constructions of DNA codes with Hamming distance \(d\) and constant \(GC\)-content
• Construction of constant GC-content DNA codes via a variable neighbourhood search algorithm
• Linear constructions for DNA codes
• Quantum error correction via codes over GF(4)

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