A Two-Parameter Modified Logistic Map and Its Application to Random Bit Generation

被引：29

作者：

Moysis, Lazaros ^{[1
]}

Tutueva, Aleksandra, V ^{[2
]}

Volos, Christos ^{[1
]}

Butusov, Denis ^{[3
]}

Munoz-Pacheco, Jesus M. ^{[4
]}

Nistazakis, Hector E. ^{[5
]}

机构：

[1] Aristotle Univ Thessaloniki, Phys Dept, Lab Nonlinear Syst Circuits & Complex LaNSCom, Thessaloniki 54124, Greece

[2] St Petersburg Electrotech Univ LETI, Dept Comp Aided Design, 5 Prof Popova St, St Petersburg 197376, Russia

[3] St Petersburg Electrotech Univ LETI, Youth Res Inst, 5 Prof Popova St, St Petersburg 197376, Russia

[4] Autonomous Univ Puebla, Fac Elect Sci, Puebla 72000, Mexico

[5] Natl & Kapodistrian Univ Athens, Dept Phys, Sect Elect Phys, Athens 15784, Greece

来源：

SYMMETRY-BASEL | 2020年 / 12卷 / 05期

关键词：

random bit generation; logistic map; chaos; chaos-based cryptography; NUMBER GENERATORS;

D O I：

10.3390/sym12050829

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This work proposes a modified logistic map based on the system previously proposed by Han in 2019. The constructed map exhibits interesting chaos related phenomena like antimonotonicity, crisis, and coexisting attractors. In addition, the Lyapunov exponent of the map can achieve higher values, so the behavior of the proposed map is overall more complex compared to the original. The map is then successfully applied to the problem of random bit generation using techniques like the comparison between maps, XOR, and bit reversal. The proposed algorithm passes all the NIST tests, shows good correlation characteristics, and has a high key space.

引用

页数：11

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