A pseudorandom bit generator based on hyperbolic cosine function

Abstract

In the literature, little attention is paid to devising and analyzing novel one dimensional chaotic mappings. In our previous efforts, we have tried fold, translation & scale on arctangent function & sigmoid function respectively, which brings good results. In this paper, we do the same to obtain a variant of Hyperbolic Cosine Function. Both Bifurcation Diagram & Lyapunov Exponent Spectrum manifest that the new mapping possesses wonderful chaotic properties. Then, a pseudorandom bit generator is designed based on it. Pseudorandom tests demonstrate that the generator is much better than our previous ones. It owns great application prospect.