Abstract
A new encryption scheme is developed by employing congruential generators and Arneodos chaotic dynamical system. In the offered work we have applied a chaotic map for shuffling and a quadratic congruential generator for substitution. The objective of this work is to offer a robust image encryption technique that satisfies the security criteria. Moreover, the cryptanalysis of this scheme is difficult because we have performed a combination of chaotic shuffling and substitution boxes.