Evaluation of cryptographic reliability of information encryption methods based on recurrent sequences

Authors

  • Юрій Євгенович Яремчук Vinnytsia National Technical University Khmelnytsce shosse 95, Vinnytsia, 21021, Ukraine, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2013.12751

Keywords:

Information security, cryptography, encryption, key distribution, cryptographic reliability, recurrent sequences

Abstract

Despite the widespread use of cryptographic methods, based on public key technology, what remains important is simplification in their cryptographic transformations, while ensuring a sufficient level of cryptographic reliability. In this connection, methods of asymmetric encryption of information, and encryption without prior distribution of keys, based on the mathematical apparatus of recurrent  and  sequences, and their analytical relations, arouse certain interest. The proposed methods provide simplification of calculations; however, the issue of studying their cryptographic reliability, and their comparison with the known analogues, come to the fore. We performed evaluation of theoretical cryptographic reliability of the considered methods, based on the theory-and-complexity approach. We established, that any attempt to break the methods on a theoretical level is reduced to the necessity of solving the system of equations with  and +1 unknown values. This task currently has no effective polynomial algorithm and is impracticable. In addition, this task compared with the discrete logarithm problem, which is a basis for the known methods of ElGamal and Shamir, has a no less complexity of solution. Thus, the methods based on recurrent and  sequences provide sufficient levels of reliability, and can be widely used in informational systems

Author Biography

Юрій Євгенович Яремчук, Vinnytsia National Technical University Khmelnytsce shosse 95, Vinnytsia, 21021, Ukraine

Director of IT and Information Security Center

Professor of Administrative and Information Management Department

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Published

2013-04-25

How to Cite

Яремчук, Ю. Є. (2013). Evaluation of cryptographic reliability of information encryption methods based on recurrent sequences. Eastern-European Journal of Enterprise Technologies, 2(10(62), 35–38. https://doi.org/10.15587/1729-4061.2013.12751

Issue

Vol. 2 No. 10(62) (2013): Applied information technologies

Section

Applied Information Technology

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Copyright (c) 2014 Юрій Євгенович Яремчук

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