TY - JFULL AU - Robersy Sánchez and Ricardo Grau PY - 2007/6/ TI - Vector Space of the Extended Base-triplets over the Galois Field of five DNA Bases Alphabet T2 - International Journal of Computer and Information Engineering SP - 1380 EP - 1388 VL - 1 SN - 1307-6892 UR - https://publications.waset.org/pdf/14722 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 5, 2007 N2 - A plausible architecture of an ancient genetic code is derived from an extended base triplet vector space over the Galois field of the extended base alphabet {D, G, A, U, C}, where the letter D represent one or more hypothetical bases with unspecific pairing. We hypothesized that the high degeneration of a primeval genetic code with five bases and the gradual origin and improvements of a primitive DNA repair system could make possible the transition from the ancient to the modern genetic code. Our results suggest that the Watson-Crick base pairing and the non-specific base pairing of the hypothetical ancestral base D used to define the sum and product operations are enough features to determine the coding constraints of the primeval and the modern genetic code, as well as the transition from the former to the later. Geometrical and algebraic properties of this vector space reveal that the present codon assignment of the standard genetic code could be induced from a primeval codon assignment. Besides, the Fourier spectrum of the extended DNA genome sequences derived from the multiple sequence alignment suggests that the called period-3 property of the present coding DNA sequences could also exist in the ancient coding DNA sequences. ER -