1. Robust PRNG based on homogeneously distributed chaotic dynamics
- Author
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René Lozi, Ina Taralova, Oleg Garasym, Institut de Recherche en Communications et en Cybernétique de Nantes (IRCCyN), Mines Nantes (Mines Nantes)-École Centrale de Nantes (ECN)-Ecole Polytechnique de l'Université de Nantes (EPUN), Université de Nantes (UN)-Université de Nantes (UN)-PRES Université Nantes Angers Le Mans (UNAM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Jean Alexandre Dieudonné (JAD), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), and COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
chaotic dynamics ,0209 industrial biotechnology ,History ,Dynamical systems theory ,[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] ,Chaotic ,02 engineering and technology ,Network topology ,Topology ,Education ,Combinatorics ,[INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR] ,020901 industrial engineering & automation ,[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering ,topologies of chaotic maps ,0202 electrical engineering, electronic engineering, information engineering ,Mathematics ,Pseudorandom number generator ,Coupling ,dynamical systems ,Phase plane ,Base (topology) ,020202 computer hardware & architecture ,Computer Science Applications ,Nonlinear system ,PRNG - Abstract
International audience; This paper is devoted to the design of new chaotic Pseudo Random Number Generator (CPRNG). Exploring several topologies of network of 1-D coupled chaotic mapping, we focus first on two dimensional networks. Two topologically coupled maps are studied: T T L (RC) non-alternate, and T T L (SC) alternate. The primary idea of the novel maps has been based on an original coupling of the tent and logistic maps to achieve excellent random properties and homogeneous /uniform/ density in the phase plane, thus guaranteeing maximum security when used for chaos base cryptography. In this aim two new nonlinear CPRNG: M T T L (SC 2) and N T T( L2) are proposed. The maps successfully passed numerous statistical, graphical and numerical tests, due to proposed ring coupling and injection mechanisms.
- Published
- 2016
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