2019
DOI: 10.1016/j.dam.2019.07.022
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Periodic template tests: A family of statistical randomness tests for a collection of binary sequences

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Cited by 18 publications
(4 citation statements)
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“…Obviously, the chaotic binary sequence generated by the incremental quantization method reflects the motion trajectory of the chaotic map to a certain extent. Based on Equation (10), we used incremental quantization to generate different logistic binary sequences, with calculation accuracies of m = 8, 16, and 32. In addition, numerical simulations were performed to assess the performance of the logistic binary sequences in terms of autocorrelation, permutation entropy, linear complexity, and MPPA.…”
Section: Randomness Tests Of Chaotic Binary Sequencesmentioning
confidence: 99%
See 1 more Smart Citation
“…Obviously, the chaotic binary sequence generated by the incremental quantization method reflects the motion trajectory of the chaotic map to a certain extent. Based on Equation (10), we used incremental quantization to generate different logistic binary sequences, with calculation accuracies of m = 8, 16, and 32. In addition, numerical simulations were performed to assess the performance of the logistic binary sequences in terms of autocorrelation, permutation entropy, linear complexity, and MPPA.…”
Section: Randomness Tests Of Chaotic Binary Sequencesmentioning
confidence: 99%
“…In 2012, Ahadpour et al [9] proposed the topological properties of the binary visibility graph as a randomness criterion from the complex network's perspective. In 2019, Fatih et al [10] put forward a new family of statistical randomness tests for a collection of binary sequences. This test can analyze periodic templates of binary sequences and evaluate the performance of the sequence.…”
Section: Introductionmentioning
confidence: 99%
“…In the literature, rather than Golomb's postulates, statistical approaches are studied to decide whether the finite sequence under consideration is random with a certain probability. Statistical randomness tests use different random variables, mostly inspired by Golomb's postulates [7,10,13,14,16,26,30,34,35,38,42].…”
Section: Introductionmentioning
confidence: 99%
“…In fact, the probabilities changes depending on the period of the template. In [17], the classification of all possible templates according to their period is given and for each template the exact values of the probabilities are evaluated using generating functions. Finally a new statistical randomness test is proposed.…”
Section: Introductionmentioning
confidence: 99%