Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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)

How to cite: Petoukhov, S.V. The Genetic Code, Algebraic Codes and Double Numbers. Preprints 2019, 2019110301. Petoukhov, S.V. The Genetic Code, Algebraic Codes and Double Numbers. Preprints 2019, 2019110301.


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. The article also presents data on structural relations of some genetically inherited macrobiological phenomena with double numbers and with their algebraic extentions. 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 organization. This allows one to think that living organisms are algebraically encoded entities.


genetic code; DNA; alphabet; amino acids; hypercomplex numbers; double numbers; binary numbers; dyadic groups; dyadic shift; tensor product


Biology and Life Sciences, Biochemistry and Molecular Biology

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0

Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.