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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2020 / Cilt: 13 - Sayı: 3

On the Reversibility Problem

Ters Sıralama Problemi Hakkında

Abdullah DERTLİ
Yasemin ÇENGELLENMİŞ
Pages
1383–1388
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Thanks to this, the reversible DNA codes are obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:By defining a non-trivial automorphism over $ R = Z_4 uZ_4 + vZ_ 4+ uvZ_4,$ where $ u^2 = u, v^2 = v, uv =vu, $ and $ Z_4 = $ {0,1, 2,3} , the skew cyclic codes over the finite ring R are introduced.
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Key Findings & Data:By using the skew cyclic codes over R , it is solved the reversibility problem for DNA 4-bases.
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Conclusion & Impact:Thanks to this, the reversible DNA codes are obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

By defining a non-trivial automorphism over $ R = Z_4 uZ_4 + vZ_ 4+ uvZ_4,$ where $ u^2 = u, v^2 = v, uv =vu, $ and $ Z_4 = $ {0,1, 2,3} , the skew cyclic codes over the finite ring R are introduced. By using the skew cyclic codes over R , it is solved the reversibility problem for DNA 4-bases. Thanks to this, the reversible DNA codes are obtained.

Özet

Bu çalışmada, $ u^2 = u, v^2 = v, uv =vu, $ ve $ Z_4 = $ {0,1, 2,3} olmak üzere $ R = Z_4 uZ_4 + vZ_ 4+ uvZ_4,$ sonlu halkası üzerinde aşikar olmayan bir otomorfizma tanımlanarak R halkası üzerinde çarpık devirli kodlar verilmiştir. R halkası üzerinde çarpık devirli kodlar kullanılarak DNA 4-bazlar için ters sıralama problemi çözülmüştür. Bu sayede ters sıralı DNA kodlar elde edilmiştir.

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Cite This Article

DERTLİ, A., ÇENGELLENMİŞ, Y. (2022). On the Reversibility Problem. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 13 - Sayı: 3, 1383–1388. https://ajindex.com/articles/505439

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References (6)

  1. Adleman L. 1994. “Molecular computation of the solutions to combinatorial problems”, Science, 266,1021-1024.
  2. Bayram A., Oztas E., Siap I. 2015. “Codes over $F_4 + vF_4 $ and some DNA applications”, Designs, Codes and Cryptography, DOI: 10.107/s10623-015-01008.
  3. Cengellenmis Y., Dertli A. 2020. “On the skew cyclic codes and the reversibility problem for DNA 4-bases”, Mathematics in Computer Science, 14, 431-435.
  4. Dertli A., Cengellenmis Y. 2017. “On cyclic DNA codes over the rings $Z_4 + wZ_4 $ and $Z_4 + wZ_4 + vZ_4 + wvZ_4 $”, Biomath, 6, 1712167. Gursoy F., Oztas S. E., Siap I. 2017. “Reversible DNA codes over $ F_{16} + vF_{16} +uF_{16} + uv F _{16} $ ”, American Institude of Mathematical Sciences, 11, 307-312.
  5. Gursoy F., Oztas S. E.,Ozkan A. 2017. “Reversible DNA codes over a family of non-chain ring”, arXiv:1711.02385v1. Head, T. 1987. “Formal language theory and DNA: an analysis of the generative capacity of specific recombinant behaviors”, Bulletin of mathematical biology, 49, 737-759.
  6. Kumar, N., Singh A. K. 2018. “DNA computing over the ring $ Z_4 + vZ_4 $ ”,International Journal of Biomathematics, 11, 1850090.