Robust PRNG based on homogeneously distributed chaotic dynamics

Oleg Garasym (1) , René Lozi (2) , Ina Taralova (1)

1 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes
2 LJAD - Laboratoire Jean Alexandre Dieudonné

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.

Mots clés: PRNG; chaotic dynamics; dynamical systems; topologies of chaotic maps

Domaines: Automatique; Cryptographie et sécurité [cs.CR]; Systèmes dynamiques [math.DS]

Oleg Garasym, René Lozi, Ina Taralova. Robust PRNG based on homogeneously distributed chaotic dynamics. Journal of Physics: Conference Series, 2016, NOMA'15 International Workshop on Nonlinear Maps and Applications, 692, pp.012001. ⟨10.1088/1742-6596/692/1/012011⟩. ⟨hal-01281815v2⟩