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Relations of the Genetic Code with Algebraic Codes and Hypercomplex Double Numbers

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Advances in Computer Science for Engineering and Education III (ICCSEEA 2020)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1247))

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Abstract

The article shows materials to the question on algebraic features of the genetic code. 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. Algebraic features of the genetic code are associated with hypercomplex double (or hyperbolic) numbers and with doubly stochastic matrices. The article also presents data on structural relations of some genetically inherited macrobiological phenomena with double numbers and with their algebraic extensions. The received results confirm that multidimensional numerical systems is effective for modeling and revealing the interconnections of structures of biological bodies at various levels of their organisation. This allows one to think that living organisms are algebraically encoded entities. New classes of mathematical models and technical applications are possible on the basis of described results.

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Author information

Authors and Affiliations

  1. Mechanical Engineering Research Institute, Russian Academy of Sciences, M. Kharitonievsky pereulok, 4, Moscow, Russia

    Sergey V. Petoukhov

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  1. Sergey V. Petoukhov
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Correspondence to Sergey V. Petoukhov .

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Editors and Affiliations

  1. School of Educational Information Technology, Central China Normal University, Wuhan, Hubei, China

    Zhengbing Hu

  2. Mechanical Engineering Research Institute, Russian Academy of Sciences, Moscow, Russia

    Sergey Petoukhov

  3. Faculty of Applied Mathematics, National Technical University of Ukraine, Kiev, Ukraine

    Ivan Dychka

  4. Halmos College of Natural Sciences and Oceanography, Nova Southeastern University, Davie, FL, USA

    Matthew He

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Petoukhov, S.V. (2021). Relations of the Genetic Code with Algebraic Codes and Hypercomplex Double Numbers. In: Hu, Z., Petoukhov, S., Dychka, I., He, M. (eds) Advances in Computer Science for Engineering and Education III. ICCSEEA 2020. Advances in Intelligent Systems and Computing, vol 1247. Springer, Cham. https://doi.org/10.1007/978-3-030-55506-1_50

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