Models of interaction of cryptography and chaotic dynamics

Abstract

Cryptography deals with the problem of information protection by its transformation, providing the protection of information (by means of computational techniques), i.e. a set of agreed encryptian tools. Under the cryptosystem in the narrow sense we will understand dynamical systems with a nonlinear function and spatial states, it is represented by a differential equation. Some conditions of the dynamic system, the Lyapunov exponent, as a measure of sensitivity are considered. Identification of the interconnection between objects of study in the theory of chaos and cryptography is revealed; the conclusions about the possibility of using the trajectory of dynamical systems with the chaos for the representation and the transmission of information.