Fractal and Chaos in for Highly Secured Cryptosystem

Abstract

With the rapid development in the communications and information transmissions, there is a growing demand for new approaches that increase the security of cryptographic systems. Therefore, some emerging theories, such as fractals chaos can be adapted to providing a contribution toward this goal. They have properties, which have been extensively studied over the years and derive their inherent complexity from the extreme sensitivity of the system to the initial conditions and other features, which ensure a sufficient level of randomness. The fractal algorithm can resist the known attacks due to the open key space and big key size. The “cumulative and truncation errors” accompanying the numerical solution of the non-linear system posed a difficulty for the algorithm to obtain imprecise decimal numbers.