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 topologically coupled maps are studied: TTLrc non-alternate, and TTLSC 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: MTTL2sc and NTTL2 are proposed. The maps successfully passed numerous statistical, graphical and numerical tests, due to proposed ring coupling and injection mechanisms.
Highlights
Introduction tremendous development of newIT technologies, e-banking, e-purchasing, etc. nowadays increases incessantly the needs for new and more secure cryptosystems
In this paper we have proposed the original idea to couple two well-known chaotic maps, which considered separately - do not exhibit the required features for encryption purposes because they have weak security when applied alone
The new coupling changed qualitatively the overall system behavior, because the maps used with injection mechanism and coupling between states increased their complexity
Summary
Introduction tremendous development of newIT technologies, e-banking, e-purchasing, etc. nowadays increases incessantly the needs for new and more secure cryptosystems. Auto and ring-coupling between states (Fig.1b) of the map and injection mechanism influence the system dynamics making its dynamics complex enough for our application purposes. If we use T Lμ to make impact on the dynamics of simple maps, excellent effect on chaoticity and randomness could be achieved.
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