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Pseudo-random number generator based on mixing of three chaotic maps
Institution:1. Group for Automatic Mesh Generation and Advanced Methods (Gamma3 UTT-INRIA), University of Technology of Troyes, 12 rue Marie Curie, CS 42060, F-10004 Troyes Cedex, France;2. Equipe-projet Digits, Architectures et Logiciels Informatiques (DALI), Université de Perpignan, 52 avenue Paul Alduy, F-66860 Perpignan cedex 9, France;3. Department of Network & Information Security, Ecole Supérieure d’Informatique, Electronique, Automatique (ESIEA), 9 rue Vésale, F-75005 Paris, France;1. School of Electronics & Information, Nantong University, Nantong 226019, PR China;2. College of Information Science and Technology, Donghua University, Shanghai 201620, PR China;1. Department of Mechanics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People’s Republic of China;2. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People’s Republic of China;1. Area Academica de Ingenieria, Universidad Autonoma del Estado de Hidalgo, Carr. Pachuca Tulancingo Km. 4.5, Pachuca Hidalgo 42184, Mexico;2. Departamento de Ciencias e Ingenieria de la Computacion, Escuela Superior de Computo, Instituto Politecnico Nacional, Av. Miguel Othon de Mendizabal s/n., Mexico D.F. 07738, Mexico;3. Unconventional Computing Center, Bristol Institute of Technology, University of the West of England, Bristol BS16 1QY, United Kingdom
Abstract:A secure pseudo-random number generator three-mixer is proposed. The principle of the method consists in mixing three chaotic maps produced from an input initial vector. The algorithm uses permutations whose positions are computed and indexed by a standard chaotic function and a linear congruence. The performance of that scheme is evaluated through statistical analysis. Such a cryptosystem lets appear significant cryptographic qualities for a high security level.
Keywords:Nonlinear chaotic function  Pseudo-random  Permutation  Cryptography  Statistical analysis
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