TY - GEN
T1 - A Study on Parameters of Piecewise Logistic Map over Large Integers and Processing Time
AU - Inoue, Ryo
AU - Miyazaki, Takeru
AU - Uehara, Satoshi
AU - Araki, Shunsuke
AU - Nogami, Yasuyuki
N1 - Funding Information:
ACKNOWLEDGMENT The authors would like to thank the anonymous reviewers for his/her comments. This work was supported by JSPS KAKENHI Grant Number 20K11796.
Publisher Copyright:
© 2022 IEEE.
PY - 2022
Y1 - 2022
N2 - It is known that the piecewise logistic map proposed by Wang, Liu, and Lei has a wider range of the control parameter than one by the logistic map for generating pseudorandom sequences. We also realize that a sequence with long period is ob-tained by the large arithmetic precision. However, conditions for generating good random numbers at large arithmetic precision are not clear. In addition, we do not know a method for deciding a suitable initial value. For that reasons, we will use a large number obtained by some continuous mapping from a small integer. In this paper, we take account of the time to processing of multiple precision arithmetic, and we will offer suitable parameters for generating good random numbers by the piecewise logistic map.
AB - It is known that the piecewise logistic map proposed by Wang, Liu, and Lei has a wider range of the control parameter than one by the logistic map for generating pseudorandom sequences. We also realize that a sequence with long period is ob-tained by the large arithmetic precision. However, conditions for generating good random numbers at large arithmetic precision are not clear. In addition, we do not know a method for deciding a suitable initial value. For that reasons, we will use a large number obtained by some continuous mapping from a small integer. In this paper, we take account of the time to processing of multiple precision arithmetic, and we will offer suitable parameters for generating good random numbers by the piecewise logistic map.
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U2 - 10.1109/ICCE-Taiwan55306.2022.9869152
DO - 10.1109/ICCE-Taiwan55306.2022.9869152
M3 - Conference contribution
AN - SCOPUS:85138676710
T3 - Proceedings - 2022 IEEE International Conference on Consumer Electronics - Taiwan, ICCE-Taiwan 2022
SP - 169
EP - 170
BT - Proceedings - 2022 IEEE International Conference on Consumer Electronics - Taiwan, ICCE-Taiwan 2022
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2022 IEEE International Conference on Consumer Electronics - Taiwan, ICCE-Taiwan 2022
Y2 - 6 July 2022 through 8 July 2022
ER -
