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

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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]
Copyright of Advances & Applications in Discrete Mathematics is the property of Pushpa Publishing House and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="DE" term="%22Cyclic+codes%22">Cyclic codes</searchLink><br /><searchLink fieldCode="DE" term="%22Automorphisms%22">Automorphisms</searchLink><br /><searchLink fieldCode="DE" term="%22Complementary+DNA%22">Complementary DNA</searchLink><br /><searchLink fieldCode="DE" term="%22Palindromic+DNA%22">Palindromic DNA</searchLink><br /><searchLink fieldCode="DE" term="%22Nucleotide+sequence%22">Nucleotide sequence</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+fields%22">Finite fields</searchLink><br /><searchLink fieldCode="DE" term="%22Gray+codes%22">Gray codes</searchLink>
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  Data: 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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  Data: <i>Copyright of Advances & Applications in Discrete Mathematics is the property of Pushpa Publishing House and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.17654/0974165825047
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        Text: English
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        PageCount: 19
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      – SubjectFull: Cyclic codes
        Type: general
      – SubjectFull: Automorphisms
        Type: general
      – SubjectFull: Complementary DNA
        Type: general
      – SubjectFull: Palindromic DNA
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      – SubjectFull: Nucleotide sequence
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      – SubjectFull: Finite fields
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      – SubjectFull: Gray codes
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      – TitleFull: CONSTRUCTION OF DNA CODES USING θ-SKEW CYCLIC CODES OVER F4+ vF4.
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              Text: Nov2025
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