Improvement of new security criteria and analysis methods using relationship between chaos and cryptography

One of the application areas of chaotic systems is chaos based cryptography studies. Many design studies have been proposed using the relationship between chaos and cryptography. In this study, it has been shown that this relationship can be used in cryptanalysis of cryptographic designs. The usability of chaos analysis methods in the analysis of cryptographic protocols has been investigated. Lyapunov exponents, which are a chaos analysis method, have been used to measure the quality of random number generators. The analysis results showed that Lyapunov exponents can be used as a criterion in the evaluation of random number generators. In the study, the problems of NIST test suite which is a common analysis approach in evaluating the statistical properties of random number generators are shown. It has been observed that these problems do not in the new test tool. These results have shown that the proposed method can be used successfully in many applications in the future.