Abstract
Quaternions are widely used in physics, geometry and image processing, which are hyper-complex numbers applied in three-dimensional space. In this paper, we utilize the benefits of quaternions to present a new PRNG (pseudo-random number generator) algorithm using quaternions and three chaotic systems. The generated sequences yield to a long period and remedy the periodicity problem for cryptographic purposes. The performance of the proposed PRNG method is estimated through several NIST suit statistical analyses. The results demonstrate that the proposed PRNG algorithm has significant qualities for viable applications in security purposes.