Informatica · 2013 · 40 citations · 19 references
ComputingComputer EngineeringComputer ScienceAlgorithmsComputer SecurityCryptographyChaos TheoryCryptographic AlgorithmsCryptographic ImplementationRandom Number GenerationChaotic MapsLinear Congruential GeneratorsPermutationsPseudo-random Number GenerationPseudo-random Number GeneratorsPseudorandom GeneratorsPseudorandom PermutationsSystem Of Linear Congruences
A new pseudo-random number generator (PRNG) is proposed. The principle of the method consists in mixing chaotic maps produced from an input initial vector. The algorithm uses permutations whose positions are computed and indexed by a chaotic function based on linear congruences. The performance of this scheme is evaluated through statistical analysis. Such a cryptosystem lets appear significant cryptographic qualities for a good security level.
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Handbook of applied cryptography
Choice Reviews Online · 1997 · 10.5K citations · Full text
Determining Lyapunov exponents from a time series
Alan Wolf, J. B. Swift, Harry L. Swinney et al. · Physica D Nonlinear Phenomena · 1985 · 9.4K citations · Full text
Pierre L’Ecuyer, Richard Simard · ACM Transactions on Mathematical Software · 2007 · 998 citations