On the DNA Codes as Images of Reversible Complement Cyclic Codes of Odd Length Over the Finite Ring

Abstract

Necessary and sufficient conditions for cyclic codes of odd length over the finite ring R_u^2,v^2,w^2,2 , where F2 = {0,1} to have the DNA properties are determined. A correspondence between the elements of the finite ring R_u^2,v^2,w^2,2 and DNA 4-bases is given. By using the correspondence and the cyclic DNA codes over the finitering R_u^2,v^2,w^2,2 , the DNA codes are obtained.