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Novel Memristive Pseudorandom Bit Generator

Pseudorandom bit generators which produce bit sequences have become a significant factor serving human life in many fields, such as cryptography, spread spectrum wireless communication, computer simulations, and error-correcting coding. A novel pseudorandom bit generator (PRBG) using a two-dimensional memristive logistic map is proposed. Starting from randomly chosen initial seeds, the algorithm produces 32 bit-block sequences at each iteration. The effect of the generator’s use of the IEEE 754-2008 floating-point representation standard is also considered. Different statistical analyses are used to evaluate the generator’s performance. The results demonstrate that the generated sequences have a high level of randomness and security, making them ideal for cryptographic applications.