New nonlinear CPRNG based on tent and logistic maps

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Abstract

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-alternative, and TTL SC alternative. 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 SC 2 is proposed. In addition, we explore higher dimension and the proposed ring coupling with injection mechanism enables to achieve the strongest security requirements.

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Garasym, O., Taralova, I., & Lozi, R. (2016). New nonlinear CPRNG based on tent and logistic maps. Understanding Complex Systems, 73, 131–161. https://doi.org/10.1007/978-3-662-47824-0_6

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