Receipt date: 
Journal number: 
Article File: 

The article is devoted to the widespread at all times method of information security during its transmission – encryption. The article for the first time proposes an encryption algorithm based on the use of long non-periodic sequences of numbers that represent transcendental numbers as keys. This encryption method combines the features of symmetric encryption algorithms, public key encryption algorithms, and has the features of a perfect cipher. During the experimental implementation, the algorithm showed high speed.

List of references: 
  1. A. G. Rostovtsev, E. B. Makhovenko, Theoretical cryptography. // NPO "Professional", St. Petersburg, 2016. – 478p.
  2. Sh. T. Ishmukhametov, R. G. Rubtsova Mathematical bases of information protection. Electronic textbook// KFU, IVMiIT, Kazan, 2012 – 139p.
  3. G.V. Basalova, Fundamentals of Cryptography // INTUIT, Moscow, 2016. - 281 p.
  4. B. A. Forouzan Mathematics of cryptography and encryption theory. //INTUIT, Moscow, 2016. - 511c.
  5. O. N. Zhdanov V. V. Zolotarev Methods and means of cryptographic protection of information// of SibSAU, Krasnoyarsk, 2007. - 217 p.
  6. [Electronic resource] URL: (date: 09.01.2019).
  7. A. O. Gel'fond Transcendental and Algebraic Numbers // State Publishing House of Technical and Theoretical Literature, Moscow, 1952–224 p.
  8. Yu. V. Nesterenko Theory of numbers// Publishing house "Academy", Moscow, 2008. – 272p.
  9. Wenbo Mao, Modern cryptography: theory and practice// Publishing house "Williams", Moscow, 2005, – 768p.
  10.  [Electronic resource] URL: (date: 09.01.2019).