From chaos to randomness via geometric undersampling
Copyright policy )From chaos to randomness via geometric undersampling
We propose a new mechanism for undersampling chaotic numbers obtained by the ring coupling of one-dimensional maps. In the case of 2 coupled maps this mechanism allows the building of a PRNG which passes all NIST Test. This new geometric undersampling is very effective for generating 2 parallel streams of pseudo-random numbers, as we show, computing carefully their properties, up to sequences of one trillion consecutives iterates of the ring coupled mapping which provides more than 33.5 billions random numbers in very short time.
geometric undersampling, AMSC: 9A20, chaos, 65P20, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], randomness, Pseudo Random Number generator, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], 37H10, under-sampling, pseudo-random number generator, QA1-939, T57-57.97, Applied mathematics. Quantitative methods, cryptography, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, [NLIN.NLIN-CD] Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Random number generation in numerical analysis, 11K45, Mathematics, Sampling theory in information and communication theory
geometric undersampling, AMSC: 9A20, chaos, 65P20, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], randomness, Pseudo Random Number generator, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], 37H10, under-sampling, pseudo-random number generator, QA1-939, T57-57.97, Applied mathematics. Quantitative methods, cryptography, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, [NLIN.NLIN-CD] Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Random number generation in numerical analysis, 11K45, Mathematics, Sampling theory in information and communication theory
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