Araştırma Makalesi

DNA CODES FROM REVERSIBLE GROUP CODES BY A VIRUS OPTIMISATION ALGORITHM

Cilt: 6 Sayı: 3-Supplement 15 Ekim 2023
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DNA CODES FROM REVERSIBLE GROUP CODES BY A VIRUS OPTIMISATION ALGORITHM

Öz

In this paper, we employ group rings and some known results on group codes to study reversible group DNA codes. We define and study reversible cyclic DNA codes from a group ring point of view and we also introduce the notion for self-reciprocal group ring elements. Moreover, we search for reversible group DNA codes with the use of a virus optimisation algorithm. We obtain many good DNA codes that satisfy the Hamming distance, the reverse, the reverse-complement and the fixed GC-content constraints.

Anahtar Kelimeler

Destekleyen Kurum

TÜBİTAK

Proje Numarası

1059B192000947

Teşekkür

Serap Sahinkaya would like to thank TUBITAK for the financial support while writing this paper (Grant No:1059B192000947)

Kaynakça

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  2. K.G. Benerjee, S. Deb, M.K. Gupta, On conict free DNA codes, Cryptogr. Commun. Vol.13,pp.143{171 (2021). https://doi.org/10.1007/s12095-020-00459-7. DNA CODES 43
  3. W. Bosma, J. Cannon, C. Playoust, The Magma algebra system. I. The user language, J. Symbolic Comput., Vol. 24, pp. 235-265 (1997).
  4. Y. Cengellenmis, A. Dertli, S.T. Dougherty, A. Korban, S. Sahinkaya, D. Ustun, Reversible G-Codes over the Ring Fj;k with Applications to DNA Codes, Advances in MAtehematics of Communication, (2023) Doi: 10.3934/amc.2021056.
  5. Cuevas, J. R., H. J. Wang, Y. C. Lai, Y. C. Liang, Virus Optimization Algorithm: A Novel Metaheuristic for Solving Continuous Optimization Problems, The 10th Asia Paci_c Industrial Engineering Management System Conference, pp.2166{2174 (2009).
  6. S.T. Dougherty, J. Gildea, R. Taylor, A. Tylshchak, Group rings, G-codes and constructions of self-dual and formally self-dual codes, Designs, Codes and Cryptography, Vol. 86, pp.2115-2138 (2018).
  7. P. Gaborit, O. D. King, Linear Constructions for DNA Codes, Theoretical Computer Science, Vol.334, pp.99-113 (2005).
  8. F. Gursoy, E. S. Oztas, I. Siap, Reversible DNA codes over F16 + uF16 + vF16 + uvF16, Adv. Math. Commun., Vol.11, pp.307-312 (2017).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Cebir ve Sayı Teorisi

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

15 Ekim 2023

Gönderilme Tarihi

31 Temmuz 2023

Kabul Tarihi

3 Ekim 2023

Yayımlandığı Sayı

Yıl 2023 Cilt: 6 Sayı: 3-Supplement

Kaynak Göster

APA
Korban, A., Şahinkaya, S., & Üstün, D. (2023). DNA CODES FROM REVERSIBLE GROUP CODES BY A VIRUS OPTIMISATION ALGORITHM. Journal of Universal Mathematics, 6(3-Supplement), 27-43. https://doi.org/10.33773/jum.1335373
AMA
1.Korban A, Şahinkaya S, Üstün D. DNA CODES FROM REVERSIBLE GROUP CODES BY A VIRUS OPTIMISATION ALGORITHM. JUM. 2023;6(3-Supplement):27-43. doi:10.33773/jum.1335373
Chicago
Korban, Adrian, Serap Şahinkaya, ve Deniz Üstün. 2023. “DNA CODES FROM REVERSIBLE GROUP CODES BY A VIRUS OPTIMISATION ALGORITHM”. Journal of Universal Mathematics 6 (3-Supplement): 27-43. https://doi.org/10.33773/jum.1335373.
EndNote
Korban A, Şahinkaya S, Üstün D (01 Ekim 2023) DNA CODES FROM REVERSIBLE GROUP CODES BY A VIRUS OPTIMISATION ALGORITHM. Journal of Universal Mathematics 6 3-Supplement 27–43.
IEEE
[1]A. Korban, S. Şahinkaya, ve D. Üstün, “DNA CODES FROM REVERSIBLE GROUP CODES BY A VIRUS OPTIMISATION ALGORITHM”, JUM, c. 6, sy 3-Supplement, ss. 27–43, Eki. 2023, doi: 10.33773/jum.1335373.
ISNAD
Korban, Adrian - Şahinkaya, Serap - Üstün, Deniz. “DNA CODES FROM REVERSIBLE GROUP CODES BY A VIRUS OPTIMISATION ALGORITHM”. Journal of Universal Mathematics 6/3-Supplement (01 Ekim 2023): 27-43. https://doi.org/10.33773/jum.1335373.
JAMA
1.Korban A, Şahinkaya S, Üstün D. DNA CODES FROM REVERSIBLE GROUP CODES BY A VIRUS OPTIMISATION ALGORITHM. JUM. 2023;6:27–43.
MLA
Korban, Adrian, vd. “DNA CODES FROM REVERSIBLE GROUP CODES BY A VIRUS OPTIMISATION ALGORITHM”. Journal of Universal Mathematics, c. 6, sy 3-Supplement, Ekim 2023, ss. 27-43, doi:10.33773/jum.1335373.
Vancouver
1.Adrian Korban, Serap Şahinkaya, Deniz Üstün. DNA CODES FROM REVERSIBLE GROUP CODES BY A VIRUS OPTIMISATION ALGORITHM. JUM. 01 Ekim 2023;6(3-Supplement):27-43. doi:10.33773/jum.1335373

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