Abstract
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.
Publisher
Journal of Universal Mathematics
Reference17 articles.
1. L. Adleman, Molecular computation of the solutions to combinatorial problems, Science, Vol. 266, pp. 1021{1024 (1994).
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).
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