Identification of odd-sized DNA and mRNA sequences as codewords of BCH codes over ℤ4

Several works have proposed the use of cyclic codes, to identify DNA and mRNA sequences as codewords of BCH codes for explaining the ability of cells to preserve genetic information by tolerating errors that can affect the process of DNA transcription. In this way, BCH codes over the ringℤ4 have been used to identify these sequences. The current processes, used to carry out the identification, shows restrictions with respect to the size of the sequence. Therefore, in this work, it is proposed an algorithm that allows identifying odd-length biological sequences as codewords of BCH codes over ℤ4. As results, a total of 318 sequences of nine different sizes, which had not been previously considered by the previous algorithms, were identified as codewords of 64 BCH codes.