Genetic code potential for overlaps of six and three genes

Abstract

Mathematical analysis of large genomes is a problem of current interest motivated by the development of DNA sequencing methods. To date, human and some other genomes have been sequenced. Certain characteristics of a genetic code shared by all these genomes are numerically analyzed in this paper. Relying on the results, a new property of the genetic code for overlaps of six and three genes in a single DNA strand is formulated. The choice of three termination codons out of 64 possible genetic code triplets does not influence the cardinality of the sets of nucleotide chains admitting sextuple and triple overlaps of genes.