In this paper we study how certain families of aperiodic infinite words can be used to produce aperiodic pseudorandom number generators (PRNGs) with good statistical behavior. We introduce the well distributed occurrences (WELLDOC) combinatorial property for infinite words, which guarantees absence of the lattice structure defect in related pseudorandom number generators. An infinite word u on ...

Pseudo random and true sequence generators are important components in many scientific technical fields, playing a fundamental role the application of Monte Carlo methods stochastic simulation. Unfortunately, quality sequences produced by these not always ideal terms randomness for applications. We present new nonlinear filter design that improves output common pseudo statistical randomness. Ta...

In this paper, we propose a digitalized chaotic map, Variational Logistic Map (VLM), modified from classical logistic map to be used in secure communication. Compared with classical logistic map, VLM has large parameter space without windows and can be implemented at low hardware cost. Referring to statistical testing suites SP800-22 and TestU01, VLM with the proposed scrambling method can sign...

Dynamic and nonlinear systems are emerging as potential candidates for random bit generation. In this context, chaotic systems, which both dynamic stochastic, particularly suitable. This article introduces a new continuous system along with its corresponding implementation, targets FPGA (fpga). has five dimensions, exhibit complex dynamics, thus enabling the utilization of signals in cryptograp...

In this paper we describe a theoretical model of chaos machine, which combines the benefits of hash function and pseudo-random function, forming flexible one-way push-pull interface. It presents the idea to create a universal tool (design pattern) with modular design and customizable parameters, that can be applied where randomness and sensitiveness is needed (random oracle), and where appropri...

Random numbers generated by pseudo-random and true random number generators (TRNG) are used in a wide variety of important applications. A TRNG relies on a non-deterministic source to sample random numbers. In this paper, we improve the post-processing stage of TRNGs using a heuristic evolutionary algorithm. Our post-processing algorithm decomposes the problem of improving the quality of random...

The search for generation approaches to robust chaos has received considerable attention due to potential applications in cryptography or secure communications. This paper is of interest regarding a 1-D sigmoidal chaotic map, which has never been distinctly investigated. This paper introduces a generic form of the sigmoidal chaotic map with three terms, i.e., xn+1 = ∓Af NL(Bxn) ± Cxn ± D, where...

T performance of a maximum-period multiple recursive generator (MRG) depends on the choices of the recurrence order k, the prime modulus p, and the multipliers used. For a maximum-period MRG, a largeorder k not only means a large period length (i.e., p − 1) but, more importantly, also guarantees the equidistribution property in high dimensions (i.e., up to k dimensions), a desirable feature for...