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Tersinirlik Problemi Hakkında

Year 2020, , 1383 - 1388, 31.12.2020
https://doi.org/10.18185/erzifbed.635699

Abstract

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 tanımlı çarpık devirli kodlar
kullanılarak, tersinirlik probleminin özel bir hali çözülmüş ve tersinir DNA
kodlar elde edilmiştir.

References

  • Adleman L. 1994. “Molecular computation of the solutions to combinatorial problems”, Science, 266,1021-1024.
  • Bayram A., Oztas E., Siap I. 2015. “Codes over and some DNA applications”, Designs, Codes and Cryptography, DOI: 10.107/s10623-015-01008.
  • Cengellenmis Y., Dertli A. 2019. “On the skew cyclic codes and the reversibility problem for DNA 4-bases”, Mathematics in Computer Science, to be accepted.
  • Dertli A., Cengellenmis Y. 2017. “On cyclic DNA codes over the rings and ”, Biomath, 6, 1712167.
  • Gursoy F., Oztas S. E., Siap I. 2017. “Reversible DNA codes over ”, American Institude of Mathematical Sciences, 11, 307-312.
  • 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.
  • Kumar, N., Singh A. K. 2018. “DNA computing over the ring ”, International Journal of Biomathematics , 11, 1850090.

On the Reversibility Problem for DNA 4-bases

Year 2020, , 1383 - 1388, 31.12.2020
https://doi.org/10.18185/erzifbed.635699

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.

Supporting Institution

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References

  • Adleman L. 1994. “Molecular computation of the solutions to combinatorial problems”, Science, 266,1021-1024.
  • Bayram A., Oztas E., Siap I. 2015. “Codes over and some DNA applications”, Designs, Codes and Cryptography, DOI: 10.107/s10623-015-01008.
  • Cengellenmis Y., Dertli A. 2019. “On the skew cyclic codes and the reversibility problem for DNA 4-bases”, Mathematics in Computer Science, to be accepted.
  • Dertli A., Cengellenmis Y. 2017. “On cyclic DNA codes over the rings and ”, Biomath, 6, 1712167.
  • Gursoy F., Oztas S. E., Siap I. 2017. “Reversible DNA codes over ”, American Institude of Mathematical Sciences, 11, 307-312.
  • 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.
  • Kumar, N., Singh A. K. 2018. “DNA computing over the ring ”, International Journal of Biomathematics , 11, 1850090.
There are 8 citations in total.

Details

Primary Language English
Journal Section Makaleler
Authors

Yasemin Çengellenmiş This is me 0000-0002-8133-9836

Abdullah Dertli 0000-0001-8687-032X

Publication Date December 31, 2020
Published in Issue Year 2020

Cite

APA Çengellenmiş, Y., & Dertli, A. (2020). On the Reversibility Problem for DNA 4-bases. Erzincan University Journal of Science and Technology, 13(3), 1383-1388. https://doi.org/10.18185/erzifbed.635699