Presentation 2018-10-18
Effects of numerical precision on statistical performance of chaotic random numbers
Shiki Kanamaru, Yutaka Shimada, Kantaro Fujiwara, Tohru Ikeguchi,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We investigated the possibility of generating a pseudo random number sequence with good performance by using chaotic dynamics.In this paper, we used the logistic map to generate a pseudo random number.To alleviate numerical calculation errors, we modified the logistic map to an integer logistic map.We converted the time series data obtained from the integer logistic map to binary sequences.Then, we evaluated the performance of the pseudo random number sequence by using the NIST test.In particular, we investigated the influence of the accuracy of numerical precision on the performance of random numbers, even if the same bifurcation parameter values were used.As a result, even if the accuracy of numerical precision is increased, the number of the NIST certification passed does not show large variation.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Chaos random number / Numerical calculation precision
Paper # CAS2018-45,NLP2018-80
Date of Issue 2018-10-11 (CAS, NLP)

Conference Information
Committee CAS / NLP
Conference Date 2018/10/18(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Tohoku Univ.
Topics (in Japanese) (See Japanese page)
Topics (in English) Mathematical modeling, numerical simulation etc.
Chair Hideaki Okazaki(Shonan Inst. of Tech.) / Norikazu Takahashi(Okayama Univ.)
Vice Chair Taizo Yamawaki(Hitachi) / Hiroaki Kurokawa(Tokyo Univ. of Tech.)
Secretary Taizo Yamawaki(Shonan Inst. of Tech.) / Hiroaki Kurokawa(Hitachi)
Assistant Motoi Yamaguchi(Renesas Electronics) / Masayuki Kimura(Kyoto Univ.) / Yutaka Shimada(Saitama Univ.)

Paper Information
Registration To Technical Committee on Circuits and Systems / Technical Committee on Nonlinear Problems
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Effects of numerical precision on statistical performance of chaotic random numbers
Sub Title (in English)
Keyword(1) Chaos random number
Keyword(2) Numerical calculation precision
1st Author's Name Shiki Kanamaru
1st Author's Affiliation Tokyo University of Science(TUS)
2nd Author's Name Yutaka Shimada
2nd Author's Affiliation Saitama University(Saitama Univ.)
3rd Author's Name Kantaro Fujiwara
3rd Author's Affiliation International Research Center for Neurointelligence, The University of Tokyo(UT)
4th Author's Name Tohru Ikeguchi
4th Author's Affiliation Tokyo University of Science(TUS)
Date 2018-10-18
Paper # CAS2018-45,NLP2018-80
Volume (vol) vol.118
Number (no) CAS-242,NLP-243
Page pp.pp.45-50(CAS), pp.45-50(NLP),
#Pages 6
Date of Issue 2018-10-11 (CAS, NLP)