Bulletin of Cherkasy State Technological University

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Definition of elementary operations of core group permutations, controlled by information

Tetiana Myroniuk

Received 15.02.2016, Revised 05.05.2016, Accepted 10.06.2016

Abstract

Introduction. Over the years, cryptography served to only military targets. Today ordinary users have the opportunity to use tools that allow them to protect themselves from unauthorized access to confidential information using methods of computer cryptography. Data protection with the use of encryption is one of the most reliable ways to address its security as encrypted information is available only for those who know how to decipher it. The purpose of scientific work. The objective of this research is to identify and analyze elementary operations which consist of basic operations of permutations, controlled by information. Formulation of the problem. In modern printed editions special attention is given to the use of three digit matrix operations of cryptographic transformations and based on these algorithms resources for information protection. However, in these studies, no analysis of the operations of permutations, controlled by information, is performed for encoding and decoding of the information. Summary of the main part. The article presents the results of research of basic cryptographic operations that form the core group of permutations operations, controlled by information. After the results of numerical experiment the core group of permutations operations, controlled by information, is received and discrete models of operations representation are constructed. During the analysis of the results of the experiment dependences for basic elements of operations are revealed. Conclusions. It is determined that the core group of cryptographic transformation operations can be formed only by those cryptographic transformation operations in which the value of the main elements diagonally is equal to 23 options

Keywords:

basic operation; group of basic operations of permutations; controlled by information; discrete model; inversion matrix; addition matrix; main element

https://doi.org/10.24025/2306-4412.2.2016.82994

Retrieved from Volume 21, No. 2, 2016

Pages 101-105

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Suggested citation

Myroniuk, Т. (2016). Definition of elementary operations of core group permutations, controlled by information . Bulletin of Cherkasy State Technological University, 21(2), 101-105. https://doi.org/10.24025/2306-4412.2.2016.82994

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