Construction of cyclic codes over GF(4) for DNA computing

In this paper, we develop the theory for constructing linear and additive cyclic codes of odd length over GF(4) that are suitable for DNA computing. We call this class of codes reversible complement cyclic codes. We use this theory to study all such codes of lengths 7, 9, 11 and 13. We list the codes that have the largest number of codewords for a given minimum Hamming distance. We show that some of these codes have more codewords than previously known codes with the same minimum Hamming distance.