TY - GEN

T1 - A Study on Randomness of Sequences Obtained from Piecewise Logistic Map over Integers

AU - Eguchi, Sota

AU - Miyazaki, Takeru

AU - Araki, Shunsuke

AU - Uehara, Satoshi

AU - Nogami, Yasuyuki

N1 - Funding Information:
ACKNOWLEDGMENT This work was partly supported by a JSPS KAKENHI Grant-in-Aid for Scientific Research (C) 20K11796.
Publisher Copyright:
© 2020 IEICE.

PY - 2020/10/24

Y1 - 2020/10/24

N2 - We have been studying a design of the pseudo-random number generator by generated sequences with the logistic map over integers. Although it has already been presented that such properties of the generation sequences are good, the range of control parameters that satisfy the properties is not enough wide. To improve this problem, Wang et al. proposed the piecewise logistic map. It is method for increasing the range of control parameters that can generate good sequences for the pseudorandom number generator. However, it is not suitable for computer implementation, because it is defined over real numbers. In this paper, we will propose a piecewise logistic map over integers that uses an integer arithmetic and computers can calculate the map correctly. We will also show some results of numerical experiments for the sequences generated from this map.

AB - We have been studying a design of the pseudo-random number generator by generated sequences with the logistic map over integers. Although it has already been presented that such properties of the generation sequences are good, the range of control parameters that satisfy the properties is not enough wide. To improve this problem, Wang et al. proposed the piecewise logistic map. It is method for increasing the range of control parameters that can generate good sequences for the pseudorandom number generator. However, it is not suitable for computer implementation, because it is defined over real numbers. In this paper, we will propose a piecewise logistic map over integers that uses an integer arithmetic and computers can calculate the map correctly. We will also show some results of numerical experiments for the sequences generated from this map.

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M3 - Conference contribution

AN - SCOPUS:85102652690

T3 - Proceedings of 2020 International Symposium on Information Theory and its Applications, ISITA 2020

SP - 451

EP - 455

BT - Proceedings of 2020 International Symposium on Information Theory and its Applications, ISITA 2020

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 16th International Symposium on Information Theory and its Applications, ISITA 2020

Y2 - 24 October 2020 through 27 October 2020

ER -