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New nonlinear CPRNG based on tent and logistic maps

Authors :
Oleg Garasym
Ina Taralova
René Lozi
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)
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)
Jinhu Lü
Xinghuo Yu
Guanrong Chen
Wenwu Yu
Source :
Complex Systems and Networks — Dynamics, Controls and Applications, Jinhu Lü, Xinghuo Yu, Guanrong Chen, Wenwu Yu. Complex Systems and Networks — Dynamics, Controls and Applications, Springer, pp.107-130, 2015, Springer: Complexity, 978-3-662-47823-3. ⟨10.1007/978-3-662-47824-0⟩, Complex Systems and Networks ISBN: 9783662478233
Publication Year :
2015
Publisher :
HAL CCSD, 2015.

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 coupled maps are studied: TTL^{RC} non-alternate, and TTL^{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 a new nonlinear CPRNG: MTTL_{2}^{SC} is proposed. In addition, we explore higher dimension and the proposed ring coupling with injection mechanism enables us to achieve the strongest security requirements.

Details

Language :
English
ISBN :
978-3-662-47823-3
ISBNs :
9783662478233
Database :
OpenAIRE
Journal :
Complex Systems and Networks — Dynamics, Controls and Applications, Jinhu Lü, Xinghuo Yu, Guanrong Chen, Wenwu Yu. Complex Systems and Networks — Dynamics, Controls and Applications, Springer, pp.107-130, 2015, Springer: Complexity, 978-3-662-47823-3. ⟨10.1007/978-3-662-47824-0⟩, Complex Systems and Networks ISBN: 9783662478233
Accession number :
edsair.doi.dedup.....66837a19e119d84d4bd7e3e38b72a04b
Full Text :
https://doi.org/10.1007/978-3-662-47824-0⟩