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.
