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Constructing Double Cyclic Codes over for DNA Codes.

Arunothai Kanlaya1, Chakkrid Klin-Eam1

  • 1Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand.

Journal of Computational Biology : a Journal of Computational Molecular Cell Biology
|October 23, 2023
PubMed
Summary

This study explores double cyclic codes for DNA applications, establishing conditions for reversible DNA codes derived from these algebraic structures.

Keywords:
DNA codeschain ringsdouble cyclic codesreversible codesreversible-complement codes

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Area of Science:

  • Algebraic coding theory
  • Bioinformatics
  • Computational biology

Background:

  • Double cyclic codes are a class of codes with applications in data storage and communication.
  • DNA computing and DNA data storage leverage the unique properties of DNA molecules for information processing and storage.
  • Existing coding techniques may not fully meet the specific requirements for reliable DNA data storage.

Purpose of the Study:

  • To investigate the algebraic structure of double cyclic codes over finite fields.
  • To develop a framework for constructing DNA codes from double cyclic codes.
  • To determine the conditions under which these DNA codes exhibit desired properties like reversibility.

Main Methods:

  • Analysis of the algebraic properties of double cyclic codes.
  • Development of a construction methodology for DNA codes based on double cyclic codes.
  • Derivation of necessary and sufficient conditions for reversibility and reversible-complement properties.

Main Results:

  • Characterization of the algebraic structure of double cyclic codes.
  • A systematic method for generating DNA codes from these codes.
  • Identification of specific conditions ensuring reversibility and reversible-complement properties in the constructed DNA codes.

Conclusions:

  • Double cyclic codes provide a viable algebraic foundation for constructing DNA codes.
  • The established conditions facilitate the design of robust and error-resilient DNA data storage systems.
  • The presented DNA code examples demonstrate the practical applicability of the theoretical findings.