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An algebraic hypothesis about the primeval genetic code

2008/05/08 by Robersy Sanchez, Robersy Sánchez, Sanchez, Robersy +2
Biochemistry, Genetics and Molecular Biology · #Bacterial Genetics and Biotechnology #FOS: Biological sciences #Fractal and DNA sequence analysis #Genomics (q-bio.GN) #Quantitative Methods (q-bio.QM) #RNA and protein synthesis mechanisms #q-bio.GN #q-bio.QM

paper · pdf · doi:10.48550/arxiv.0805.1128

A part of this article was presented in the Second international workshop IWOBI 08 (ISBN 978-959-250-394-6) at the Universidad Central de Las Villas, Santa Clara, Cuba. 25 pages, 2 figure and 3 Tables

openalex publication_date 2008/05/08 · arxiv created 2008/09/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 represents 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.

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