Detecting structure in parity binary sequences: error correction and detection in DNA

In this article, we investigate the possible existence of error detection/ correction mechanisms in the genetic machinery by means of a recently proposed coding strategy [11]. On this basis, we numerically code exons, creating binary parity strings and successively we study their dependence structure by means of rigorous statistical methods (moving block bootstrap, and a new entropy-based method). The results show that parity sequences display complex dependence patterns enforcing the hypothesis of the existence of deterministic error-correction mechanisms grounded on this particular parity coding.