CONSTRUCTION OF DNA CODES USING -SKEW CYCLIC CODES OVER

In this paper, we determine the structure of -skew cyclic codes over the ring , where and is a non-trivial automorphism over . Using a correspondence between and DNA 2-bases, we characterize -skew cyclic reversible DNA codes and -skew cyclic reversible-complement DNA codes over this ring. We also derive the Gray images of -skew cyclic codes.

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Publication Details

Journal
Advances and Applications in Discrete Mathematics
Published
2025-09-24
DOI
https://doi.org/10.17654/0974165825047
Primary Topic
Coding theory and cryptography
Type
article
Field-Weighted Citation Impact
0.00
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article

CONSTRUCTION OF DNA CODES USING -SKEW CYCLIC CODES OVER

M. E. Charkani, Joël Kaboré
Advances and Applications in Discrete Mathematics
Coding theory and cryptography
article

CONSTRUCTION OF DNA CODES USING -SKEW CYCLIC CODES OVER

M. E. Charkani, Joël Kaboré
article en

Abstract

In this paper, we determine the structure of -skew cyclic codes over the ring , where and is a non-trivial automorphism over . Using a correspondence between and DNA 2-bases, we characterize -skew cyclic reversible DNA codes and -skew cyclic reversible-complement DNA codes over this ring. We also derive the Gray images of -skew cyclic codes.

Advances and Applications in Discrete MathematicsVol. 42(8)
Openalex Percentile: Top 86%
Coding theory and cryptography
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CONSTRUCTION OF DNA CODES USING -SKEW CYCLIC CODES OVER — M. E. Charkani, Joël Kaboré · Advances and Applications in Discrete Mathematics (2025) | TGRS Research Map | TGRS