Visible to the public Biblio

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2021-01-18
Santos, T. A., Magalhães, E. P., Basílio, N. P., Nepomuceno, E. G., Karimov, T. I., Butusov, D. N..  2020.  Improving Chaotic Image Encryption Using Maps with Small Lyapunov Exponents. 2020 Moscow Workshop on Electronic and Networking Technologies (MWENT). :1–4.
Chaos-based encryption is one of the promising cryptography techniques that can be used. Although chaos-based encryption provides excellent security, the finite precision of number representation in computers affects decryption accuracy negatively. In this paper, a way to mitigate some problems regarding finite precision is analyzed. We show that the use of maps with small Lyapunov exponents can improve the performance of chaotic encryption scheme, making it suitable for image encryption.
2017-12-27
Tutueva, A. V., Butusov, D. N., Pesterev, D. O., Belkin, D. A., Ryzhov, N. G..  2017.  Novel normalization technique for chaotic Pseudo-random number generators based on semi-implicit ODE solvers. 2017 International Conference "Quality Management, Transport and Information Security, Information Technologies" (IT QM IS). :292–295.

The paper considers the general structure of Pseudo-random binary sequence generator based on the numerical solution of chaotic differential equations. The proposed generator architecture divides the generation process in two stages: numerical simulation of the chaotic system and converting the resulting sequence to a binary form. The new method of calculation of normalization factor is applied to the conversion of state variables values to the binary sequence. Numerical solution of chaotic ODEs is implemented using semi-implicit symmetric composition D-method. Experimental study considers Thomas and Rössler attractors as test chaotic systems. Properties verification for the output sequences of generators is carried out using correlation analysis methods and NIST statistical test suite. It is shown that output sequences of investigated generators have statistical and correlation characteristics that are specific for the random sequences. The obtained results can be used in cryptography applications as well as in secure communication systems design.