Mordvinov R. Models, methods and tools for the study of symmetric modes of the block cipher criteria for stability - complexity

In the thesis proposed and proved methods of statistical properties of random sequences. The method of statistical testing, which is based on a set of tests NIST STS, but differs in that takes into account the error output sequences and evaluates not only the sequence in particular, but also the source of a whole sequence. This is made possible through the use of probability theory and testing on a large number (100 pcs.) Sequences for a data source. The results of statistical tests for SBC GOST 28147:2009, AES, Belt, Camellia, and SBC "Kalina". The results showed high statistical properties in terms of cases, which is a good indicator for SBC. Besides testing has shown that the resulting score is very accurate, because retest with other inputs received nearly the same assessment in testing. Developed accelerated mathematical model that can significantly accelerate the speed of the SBC "Kalina" by using the precomputing table which replaces often usable elements of the algorithm.