Códigos BCH Aplicados no Processo de Análise de Fenômenos Mutacionais

Abstract

The error-correcting codes theory aims to develop methods capable of to detect and correct errors that may arise during the transmission or storage of data. Although there is no apparent relationship, recent studies has shown the use of error-correcting codes also in the transmission and storage of genetic information verifying the existence of a mathematical structure related to the DNA structure. In this way, DNA sequences can be identified and reproduced as codewords for error-correcting codes about the Galois field extension. For the reproduction of these DNA sequences, the BCH codes are used, which have simple features, but with high error detection power, making these codes efficient to be applied in the biological context. This work aims to study the algebraic structure of a BCH code, in addition to the reproduction of a DNA sequence related to the mitochondrial protein ATP6, through the BCH codes, in order to identify where the nucleotide exchange occurs in the generated sequence. In the reproduction of this sequence, it was observed that a nucleotide is exchanged at the position of crack 17, resulting in a non-silent mutation. Thus, it will be analyzed how this change can modify the biological architecture of the generated sequence. The results of these analyzes may be useful in the study of genetic mutations, since the exchange of an aminoacid in the enzyme ATP6 can lead some genetic diseases.