A New Method for Pseudo-Random Number Sequence Generation using Coupled Map Lattices and Iterated Function Systems

Pseudo-random number generators (PRNGs) are essential components of efficient cryptographic methods, and encryption techniques are improved and developed based on PRNGs. In this article, a new method for generating pseudo-random sequences using Coupled Map Lattices (CML) and Iterated Function Systems (IFS) with chaotic generators is proposed. Chaotic mappings exhibit chaotic behavior for a specific range of parameters and enhance the security level. To increase security, strong logistic mapping and parameterization for remaining within the chaotic range have been used in this work. Moreover, this algorithm allows the user to ensure that the output is a stream of independent and pseudo-random sequences. In addition, to increase the complexity of the generated sequences, chaotic iterated function systems have been used, which utilize many generators in constructing orbits, leading to increased security. The evaluation results and the randomness tests also approve this fact. The dynamic and random behavior of the proposed system is confirmed using entropy for lattice number equals to 100 and, where the entropy value significantly increases with a steep slope and irregularity. Furthermore, the branching diagrams and the National Institute of Standards and Technology (NIST) statistical test suite have been used to guarantee the randomness of the generated sequences. The empirical results show that the proposed PRNG system provides a large key space of size 2372 which is suitable for IoT devices.

A New Method for Pseudo-Random Number Sequence Generation using Coupled Map Lattices and Iterated Function Systems Keywords:

Pseudo-random sequence generation , IoT , Chaotic functions , Iterated function systems , Coupling.