DocumentCode
181788
Title
Relations between evaluations of NIST tests and Lyapunov exponents of sequences generated by the logistic map over integers
Author
Miyazaki, C. ; Miyazaki, T. ; Uehara, S. ; Araki, S.
Author_Institution
Fac. of Environ. Eng., Univ. of Kitakyushu, Kitakyushu, Japan
fYear
2014
fDate
26-29 Oct. 2014
Firstpage
660
Lastpage
664
Abstract
We have been studying the characteristics of the sequence generated by the logistic map over integers. In this paper, we examine the relationship of the NIST statistical tests to the Lyapunov exponents of the sequence. Then, we confirm good correlations between a sign of the exponents and both p-value and proportion of the NIST statistical tests. Therefore, we prove that the exponents indicates randomness of sequences generated by the logistic map over integers.
Keywords
Lyapunov methods; floating point arithmetic; random number generation; random sequences; statistical testing; Lyapunov sequence exponents; NIST statistical tests; logistic map over integers; Australia; Complexity theory; Generators; Information theory; Logistics; NIST; Probability;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory and its Applications (ISITA), 2014 International Symposium on
Conference_Location
Melbourne, VIC
Type
conf
Filename
6979926
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