Use of Chaotic Number Generators for Random Number Generation

Abstract

Chaos is a mathematical branch which focuses on dynamic systems and studies their behavior. It is a theory that is interdisciplinary and describes that there are some patterns, self- similarities, repetitions, feedback loops which are constant, fractals and it relies on programming at the starting point which is sensitive to initial conditions. Chaos is something in between predictable and unpredictable. It has also been in practice for last two decades in cryptography. Hundreds of cryptographic primitives have been designed by using chaos and nonlinear dynamics which include both symmetric and asymmetric encryption schemes. Their aperiodic behavior attracted researchers to develop different encryption algorithms achieving confusion and diffusion by utilizing the properties of these maps. Despite of many advantages the cryptographic security of these schemes is still questionable. Specially with the increase in computer resources the adversary always considered with added advantage in terms of resources and technology. Quantum computation is also one of the latest developing technology which has threatened the classical cryptography. This thesis will give analysis of chaos-based cryptography while analyzing the cryptographic properties of these maps and future of chaos-based cryptography in post quantum era.