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In this work, we study the structure of cyclic DNA codes of arbitrary lengthsover the ring R=F2+uF2+vF2+uvF2 and establish relations to codes over R1=F2+uF2by defining a Gray map between R and R1^2 where R1 is the ring with 4 elements.Cyclic codes of arbitrary lengths over R satisfied the reverse constraint andthe reverse-complement constraint are studied in this paper. The GC contentconstraint is considered in the last.

Cyclic DNA codes over F2+uF2+vF2+uvF2