Topological chaos and chaotic iterations. Application to Hash functions
arXiv:1511.00117 · doi:10.1109/IJCNN.2010.5596512
Abstract
This paper introduces a new notion of chaotic algorithms. These algorithms are iterative and are based on so-called chaotic iterations. Contrary to all existing studies on chaotic iterations, we are not interested in stable states of such iterations but in their possible unpredictable behaviors. By establishing a link between chaotic iterations and the notion of Devaney's topological chaos, we give conditions ensuring that these kind of algorithms produce topological chaos. This leads to algorithms that are highly unpredictable. After presenting the theoretical foundations of our approach, we are interested in its practical aspects. We show how the theoretical algorithms give rise to computer programs that produce true topological chaos, then we propose applications in the area of information security.
IJCNN 2010, Int. Joint Conf. on Neural Networks, joint to WCCI'10, IEEE World Congress on Computational Intelligence
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