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Reversible and Reversible-Complement Double Cyclic Codes over F4+vF4 and its Application to DNA Codes

Abstract

In this article, we study the algebraic structure of double cyclic codes of length over and we give a necessary and sufficient condition for a double cyclic code over to be reversible. Also, we determine the algebraic structure of double cyclic codes of length over with , satisfying the reverse constraint and the reverse-complement constraint. Then we establish a one-to-one correspondence between the 16 DNA double pairs and the 16 elements of the finite ring . We also discuss the GC-content of DNA double cyclic codes.