A Chaos-Based Pseudorandom Number Generator and Performance Analysis

Based on the two-dimensional Arnold´s cat map, and a generalized chaos synchronization (GCS) theorem, this paper presents a new six-dimensional discrete chaos map (6DCM) with GCS property. A chaos-based pseudorandom number generator (CPNG) is designed based on the 6DCM. We use the FIPA-140-2 tests issued by the National Institute of Standard and Technology to verify the random properties of the binary number sequences generated by the CPNG. The results showed that all binary number sequences passed the tests. The confidence interval analysis showed that the binary number sequences have sound random properties. Furthermore, the highly sensitivity to the seeds (initial conditions of the CPNG) may make the CPNG be used for ´´one-time-pad´´ communication.