A general construction for generating pseudorandom sequences using the digit expansion of real functions

摘要

In this paper, we propose a general construction for creating statistically random sequences using digit expansions of real functions. We identify different pitfalls and weaknesses in the presented system. A pseudorandom number generator (PRNG) is described based on a modified Riemann-Siegel $Z(t)$ function. It is shown that the output satisfies the statistical requirements of the NIST SP 800–22 randomness suite. We also analyze the resistance of the system against some well-known cryptographic attacks.