On Cyclic DNA Codes
Kenza Guenda, T. Aaron Gulliver
TL;DR
This paper develops cyclic DNA codes over a specific ring, extending the additive stem distance and hybridization energy concepts, and designs codes with cyclic or quasi-cyclic properties relevant for DNA computing.
Contribution
It introduces a novel framework for cyclic DNA codes over the ring R, linking algebraic structures with biological properties and extending the coding theory for DNA sequences.
Findings
Constructed cyclic codes over R with desired properties
Extended additive stem distance to ring-based DNA codes
Analyzed hybridization energy in the context of these codes
Abstract
This paper considers cyclic DNA codes of arbitrary length over the ring . A mapping is given between the elements of and the alphabet which allows the additive stem distance to be extended to this ring. Cyclic codes over are designed such that their images under the mapping are also cyclic or quasi-cyclic of index 2. The additive distance and hybridization energy are functions of the neighborhood energy.
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Taxonomy
TopicsDNA and Biological Computing · Advanced biosensing and bioanalysis techniques · DNA and Nucleic Acid Chemistry