A cost-effective true random bit generator using a pair of robust signum-based chaotic maps

This paper presents a cost-effective random-bit generator through a newly proposed inverted signum-based piecewise-linear chaotic map, which provides not only robust chaos against parameter changes but also symmetric bifurcation for zero-thresholding for digital random-bit generation. Chaos dynamics are described in terms of equilibria and Jacobian analysis, bifurcation diagram, Lyapunov exponent, time-and frequency domain signal, and cobweb plots. NIST standard tests suite have been realized for statistical analysis of randomness of binary sequence, and the sufficient length of 1,000,000 bits successfully passed all NIST standard tests. Experimental results of digital random-bit sequences on have been performed using a cost effective Arduino with Atmel SAM3X8E ARM Cortex-M3 CPU. The proposed random-bit generator offers a potential alternative in compact and robust random bit sequence for applications in computer information security.