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Abstract: A plausible architecture of an ancient genetic code is derived from anextended base triplet vector space over the Galois field of the extended basealphabet {D, G, A, U, C}, where the letter D represents one or morehypothetical bases with unspecific pairing. We hypothesized that the highdegeneration of a primeval genetic code with five bases and the gradual originand improvements of a primitive DNA repair system could make possible thetransition from the ancient to the modern genetic code. Our results suggestthat the Watson-Crick base pairing and the non-specific base pairing of thehypothetical ancestral base D used to define the sum and product operations areenough features to determine the coding constraints of the primeval and themodern genetic code, as well as, the transition from the former to the later.Geometrical and algebraic properties of this vector space reveal that thepresent codon assignment of the standard genetic code could be induced from aprimeval codon assignment.Besides, the Fourier spectrum of the extended DNAgenome sequences derived from the multiple sequence alignment suggests that thecalled period-3 property of the present coding DNA sequences could also existin the ancient coding DNA sequences.

Author: Robersy Sanchez, Ricardo Grau



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