CONSTRUCTION OF DNA CODES USING θ-SKEW CYCLIC CODES OVER F4+ vF4.

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Bibliographic Details
Title: CONSTRUCTION OF DNA CODES USING θ-SKEW CYCLIC CODES OVER F4+ vF4.
Authors: KABORE, Joël1,2, CHARKANI, Mohammed Elhassani1,2
Source: Advances & Applications in Discrete Mathematics. Nov2025, Vol. 42 Issue 8, p737-755. 19p.
Subjects: Cyclic codes, Automorphisms, Complementary DNA, Palindromic DNA, Nucleotide sequence, Finite fields, Gray codes
Abstract: In this paper, we determine the structure of θ-skew cyclic codes over the ring R = F4 + vF4, where v2 = v and θ is a non-trivial automorphism over F4 + vF4. Using a correspondence between R and DNA 2-bases, we characterize θ-skew cyclic reversible DNA codes and θ-skew cyclic reversible-complement DNA codes over this ring. We also derive the Gray images of θ-skew cyclic codes. [ABSTRACT FROM AUTHOR]
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Abstract:In this paper, we determine the structure of θ-skew cyclic codes over the ring R = F4 + vF4, where v2 = v and θ is a non-trivial automorphism over F4 + vF4. Using a correspondence between R and DNA 2-bases, we characterize θ-skew cyclic reversible DNA codes and θ-skew cyclic reversible-complement DNA codes over this ring. We also derive the Gray images of θ-skew cyclic codes. [ABSTRACT FROM AUTHOR]
ISSN:09741658
DOI:10.17654/0974165825047