Robust PRNG based on homogeneously distributed chaotic dynamics

International Workshop on Nonlinear Maps and Applications 2015

Garasym, Oleg^1 ; Lozi, René^2 ; Taralova, Ina^1

Ecole Centrale de Nantes, France^1

Laboratoire J. A. Dieudonné, UMR CNRS, Nice Sophia-Antipolis

7351, France^2

关键词: Chaotic dynamics;    Chaotic mapping;    Injection mechanisms;    Numerical tests;    Pseudo random number generators;    Random properties;    Ring coupling;    Two-dimensional networks;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/692/1/012011/pdf
DOI  :  10.1088/1742-6596/692/1/012011

来源: IOP

【 摘 要 】

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: TTLrcnon-alternate, and TTLSCalternate. 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: MTTL2scand NTTL2are proposed. The maps successfully passed numerous statistical, graphical and numerical tests, due to proposed ring coupling and injection mechanisms.