CYCLIC DNA CODES OVER F-2[u, v]/ u(3), v(2) - v, vu - uv

摘要

In this paper, we construct cyclic DNA codes over the ring R = F-2[u, v]/ u(3), v(2) - v, vu - uv . The correspondence between the elements of R and the alphabet {A, T, G, C}(3) is obtained by a given Gray map. Moreover, some properties of binary images of the Condons under the Gray map are also discussed. Finally, two examples of cyclic DNA codes over R are presented to illustrate the obtained results.