The Multiplet Structure of the Genetic Code, from One and Small Number

Volume 9 No 4 (2011)

Tidjani Négadi

Abstract

In this short paper, we show that the multiplet structure of the standard genetic code is derivable from the total number of nucleotides contained in 64 codons, 192, a small number. The degeneracy class-number is derived as the number of numbers coprime to the number of Family-Boxes involved for the quartets, the doublets and the singlets. Those for the triplet and the sextets are computed as simple linear combinations of the preceding ones. Some interesting consequences are also presented.

Keywords

genetic code, family-box, Euler’s phi-function, degeneracy class-number

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