On cyclic DNA codes over the rings Z_{4}+wZ_{4} and Z_{4}+wZ_{4}+vZ_{4}+wvZ_{4}

25 Mar 2016  ·  Dertli Abdullah, Cengellenmis Yasemin ·

The structures of cyclic DNA codes of odd length over the finite rings R=Z_{4}+wZ_{4}, w^{2}=2 and S=Z_{4}+wZ_{4}+vZ_{4}+wvZ_{4},w^{2}=2,v^{2}=v,wv=vw are studied. The links between the elements of the rings R, S and 16 and 256 codons are established, respectively... Cyclic codes of odd length over the finite ring R satisfies reverse complement constraint and cyclic codes of odd length over the finite ring S satisfy reverse constraint and reverse complement constraint are studied. Binary images of the cyclic DNA codes over the finite rings R and S are determined. Moreover, a family of DNA skew cyclic codes over R is constructed, its property of being reverse complement is studied. read more

PDF Abstract
No code implementations yet. Submit your code now

Categories


Information Theory Information Theory

Datasets


  Add Datasets introduced or used in this paper