Pseudo-random Number Sequence Generator Based on Chaotic Logistic-Tent System

In this paper, a new scheme of designing pseudo-random number generator (PRNG) based on a 1D discrete chaotic system is presented. Firstly, a new 1D compound discrete chaotic system, Logistic-Tent map, is proposed. The Logistic-Tent system emerges chaos phenomenon in a wider range of parameters. Moreover, the chaotic array produced with this Logistic-Tent map has higher randomness. Secondly, a pseudo-random number generating algorithm is proposed. The pseudo-random numbers geberated by this algorithm are uniformly distributed and can successfully pass the randomness tests with NIST SP800-22 software package. Furthermore, histogram test, information entropy analysis, and sensitivity test confirmed that the proposed approach can generate pseudo-random number sequences with good cryptographic performance.