A Digital Pseudo Random Number Generator Based on a Chaotic Dynamic System Chaotic based Pseudo Random Number Generators (PRNGs) have been very popular due to their unpredictable behavior. Hardware implementations of PRNG is used in many applications including cryptography, security and communication systems. Chaotic systems demonstrate an extreme sensitivity to variations in initial conditions and control parameters which makes it ideal for such applications especially cryptography. Due to this severe sensitivity, it is essential to implement the system with a sufficient accuracy while keeping the hardware cost as low as possible. An efficient and compact digital design is proposed for a PRNG based on a lowdimensional chaotic dynamic system. In this design, CORDIC algorithm has been used to reduce the hardware cost while maintaining the accuracy high. Experimental results and error measurements indicate a maximum error of 0.011 and RMSE of 0.0015 between the proposed digital circuits and the original chaotic system. The circuits have been synthesized for an Altera FPGA board. The results indicate that the circuits are successfully able to mimic the mathematical simulation counterpart. In addition, synthesis results verify that the proposed circuits take less than 1% of the target FPGA resources. Furthermore, Static Timing Analysis demonstrate a maximum frequency of 172.09 MHz for the proposed circuits. The proposed circuits can be employed in cryptography and security applications due to their compactness and high accuracy.

A Robust Random Number Generator Based on Chaotic Ring Oscillators A robust chaosbased random number generator (RNG) system is newly proposed. Output bitstreams generated from this new RNG system is tested on NIST80022 test suite. Proposed RNG circuit fulfill all fifteen randomness tests of NIST80022 without undergoing any postprocessing implementations except for the X OR operation. While classical ring oscillator based RNG systems needs at least 25 rings, each of them containing 13 inverters, and 25 D flipflops to pass all the tests, newly designed RNG system pass all the tests successfully with 10 chaotic new subcells containing 20 ring oscillators with 13 inverters and each subcell includes two resistors, a capacitor and two diodes. These are enough for the new system to generate sufficient randomness without any D flipflops. Experimental results are demonstrated and comparisons are made among the new design, classical ring oscillator based RNGs and another chaotic ring oscillator based RNG. Noise analysis of the new RNG is also performed to show that the system has a nondeterministic entropy source which secures the system against possible synchronization attacks.