DNA Cyclic Codes Over The Ring ₂[u,v]/ u²-1,v³-v,uv-vu

الأصل · EN

In this paper, we mainly study the some structure of cyclic DNA codes of odd length over the ring R = ₂[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.