Design of a pseudo-chaotic number generator as a random number generator

Generating random numbers is essential in many cryptographic applications like key generation, protocols, nonce and also in Internet for choosing TCP sequence numbers for example. We need generators which are able to construct large amounts of secure random numbers. To this end, True Random Number Generators (TRNGs) which extract randomness from physical processes are usually used. The sequences generated by TRNGs cannot be reproduced. However, generating random numbers by this way is time-consuming and expensive. Another way to generate random numbers is to use deterministic random number generators in which the seed is reseeded many times during the generation of the sequence. In this paper, we propose a new pseudo-chaotic number generator (PCNG) that produces random numbers. The algorithm is refreshed many times by using entropy source from Linux kernel. Results of statistical properties (i.e. Nist, auto and cross-correlation, histogram, chi2-test) and software security analysis exhibit good performance thus demonstrating that the proposed generator can be used confidently to produce random numbers.