TY - GEN
T1 - Relations between Evaluations of NIST Tests and Lyapunov Exponents of Sequences Generated by the Piecewise Logistic Map over Integers
AU - Eguchi, Sota
AU - Miyazaki, Takeru
AU - Araki, Shunsuke
AU - Uehara, Satoshi
AU - Nogami, Yasuyuki
PY - 2019/10
Y1 - 2019/10
N2 - In this paper, we focus on binary sequences obtained from piecewise logistic map over integers, and show the relation between the Lyapunov exponents of the maps and results of the NIST tests for the sequences. When the Lyapunov exponent is a negative value, we confirm that the branch diagram is sparse and the bit occurrence rate is also greatly biased. We also give a sample of that the positive/negative signs of the Lyapunov exponents mostly coincide on the evaluations of the NIST tests. From the branching diagram of the piecewise logistic map, we can moreover find that there are many good pseudorandom sequences generated by the individual control parameters of the map.
AB - In this paper, we focus on binary sequences obtained from piecewise logistic map over integers, and show the relation between the Lyapunov exponents of the maps and results of the NIST tests for the sequences. When the Lyapunov exponent is a negative value, we confirm that the branch diagram is sparse and the bit occurrence rate is also greatly biased. We also give a sample of that the positive/negative signs of the Lyapunov exponents mostly coincide on the evaluations of the NIST tests. From the branching diagram of the piecewise logistic map, we can moreover find that there are many good pseudorandom sequences generated by the individual control parameters of the map.
KW - Lyapunov exponent
KW - NIST tests
KW - Piecewise logistic map over integers
KW - control parameter
UR - http://www.scopus.com/inward/record.url?scp=85079220516&partnerID=8YFLogxK
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U2 - 10.1109/IWSDA46143.2019.8966109
DO - 10.1109/IWSDA46143.2019.8966109
M3 - Conference contribution
AN - SCOPUS:85079220516
T3 - 2019 9th International Workshop on Signal Design and its Applications in Communications, IWSDA 2019
BT - 2019 9th International Workshop on Signal Design and its Applications in Communications, IWSDA 2019
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 9th International Workshop on Signal Design and its Applications in Communications, IWSDA 2019
Y2 - 20 October 2019 through 24 October 2019
ER -