DNA Code from Cyclic and Skew Cyclic Codes over [Formula: see text]

The main motivation of this work is to study and obtain some reversible and DNA codes of length n with better parameters. Here, we first investigate the structure of cyclic and skew cyclic codes over the chain ring [Formula: see text]. We show an association between the codons and the elements of [F...

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Detalles Bibliográficos
Autores principales: Prakash, Om, Singh, Ashutosh, Verma, Ram Krishna, Solé, Patrick, Cheng, Wei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9954914/
https://www.ncbi.nlm.nih.gov/pubmed/36832606
http://dx.doi.org/10.3390/e25020239
Descripción
Sumario:The main motivation of this work is to study and obtain some reversible and DNA codes of length n with better parameters. Here, we first investigate the structure of cyclic and skew cyclic codes over the chain ring [Formula: see text]. We show an association between the codons and the elements of [Formula: see text] using a Gray map. Under this Gray map, we study reversible and DNA codes of length n. Finally, several new DNA codes are obtained that have improved parameters than previously known codes. We also determine the Hamming and the Edit distances of these codes.

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