Article
Version 2
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The Genetic Code, Algebraic Codes and Double Numbers
Version 1
: Received: 24 November 2019 / Approved: 24 November 2019 / Online: 24 November 2019 (17:20:40 CET)
Version 2 : Received: 16 March 2020 / Approved: 17 March 2020 / Online: 17 March 2020 (03:02:27 CET)
Version 2 : Received: 16 March 2020 / Approved: 17 March 2020 / Online: 17 March 2020 (03:02:27 CET)
How to cite: Petoukhov, S.V. The Genetic Code, Algebraic Codes and Double Numbers. Preprints 2019, 2019110301. https://doi.org/10.20944/preprints201911.0301.v2 Petoukhov, S.V. The Genetic Code, Algebraic Codes and Double Numbers. Preprints 2019, 2019110301. https://doi.org/10.20944/preprints201911.0301.v2
Abstract
The article shows materials to the question about algebraic features of the genetic code and about the dictatorial influence of the DNA and RNA molecules on the whole organism. Presented results testify in favor that the genetic code is an algebraic code related with a wide class of algebraic codes, which are a basis of noise-immune coding of information in communication technologies. Structural features of the genetic systems are associated with hypercomplex double (or hyperbolic) numbers and with bisymmetric doubly stochastic matrices. The received results confirm that represented matrix approaches are effective for modeling genetic phenomena and revealing the interconnections of structures of biological bodies at various levels of their organization. This allows one to think that living organisms are algebraically encoded entities where structures of genetic molecules have the dictatorial influence on inherited structures of the whole organism. New described algebraic approaches and results are discussed.
Keywords
genetic code; DNA; alphabet; amino acids; hypercomplex numbers; doubly stochastic matrix; binary numbers; dyadic groups; tensor product; palindrome
Subject
Biology and Life Sciences, Biochemistry and Molecular Biology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Commenter: Sergey Petoukhov
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