2015/11/12 by Sukhamoy Pattanayak, Abhay Kumar Singh, Pattanayak, Sukhamoy +3
Biochemistry, Genetics and Molecular Biology · Computer Science · #Advanced biosensing and bioanalysis techniques #Coding theory and cryptography #DNA and Biological Computing #FOS: Computer and information sciences #Information Theory (cs.IT)
paper · pdf · doi:10.48550/arxiv.1511.03937
openalex publication_date 2015/11/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, we mainly study the some structure of cyclic DNA codes of odd length over the ring R = \F2[u,v]/⟨ u2-1,v3-v,uv-vu ⟩ which play an important role in DNA computing. We established a direct link between the element of ring R and 64 codons by introducing a Gray map from R to R1 = F2 + uF2, u2 = 1 where R1 is the ring of four elements. The reverse constrain and the reverse-complement constraint codes over R and R1 are studied in this paper. Binary image of the cyclic codes over R also study. The paper concludes with some example on DNA codes obtained via gray map.