Experimental validation of a novel chaotic circuit for true random binary digit generation in cryptographic module application

Abstract

In this paper the experimental validation of a novel, modified double scroll chaotic attractor circuit, employed as a true random binary generator (TRBG) is presented. The double scroll attractor is modeled on a chaotic circuit for nonlinear operation leading to stochastic like behavior. The output from the chaotic circuit which is a correlated binary sequence is scrambled with a pseudo random binary sequence generator (PRBSG) topology to yield a true random binary source for key stream generation. The modified chaotic circuit has been first modeled in PSpice software and its state space formulation was implemented in Matlab and Simulink software to gauge simulation accuracy and potential as a cryptographic module via statistical testing. The randomness attributes of the modified generator, obtained from both the PSpice state space model along with the hardware implementation, using the PRBSG de-correlator were successfully tested by the well known NIST Test Suite and Diehard Test Set for statistical validation. A physical TRBG has been constructed on the basis of the proposed PRBSG modification with all statistical tests successfully passed confirming theoretical expectations.