A New Two-Dimensional Mutual Coupled Logistic Map and Its Application for Pseudorandom Number Generator
Joint Authors
Huang, Xuan
Liu, Lingfeng
Li, Xiangjun
Yu, Minrong
Wu, Zijie
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-27
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Given that the sequences generated by logistic map are unsecure with a number of weaknesses, including its relatively small key space, uneven distribution, and vulnerability to attack by phase space reconstruction, this paper proposes a new two-dimensional mutual coupled logistic map, which can overcome these weaknesses.
Our two-dimensional chaotic map model is simpler than the recently proposed three-dimensional coupled logistic map, whereas the sequence generated by our system is more complex.
Furthermore, a new kind of pseudorandom number generator (PRNG) based on the mutual coupled logistic maps is proposed for application.
Both statistical tests and security analysis show that our proposed PRNG has good randomness and that it can resist all kinds of attacks.
The algorithm speed analysis indicates that PRNG is valuable to practical applications.
American Psychological Association (APA)
Huang, Xuan& Liu, Lingfeng& Li, Xiangjun& Yu, Minrong& Wu, Zijie. 2019. A New Two-Dimensional Mutual Coupled Logistic Map and Its Application for Pseudorandom Number Generator. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1197183
Modern Language Association (MLA)
Huang, Xuan…[et al.]. A New Two-Dimensional Mutual Coupled Logistic Map and Its Application for Pseudorandom Number Generator. Mathematical Problems in Engineering No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1197183
American Medical Association (AMA)
Huang, Xuan& Liu, Lingfeng& Li, Xiangjun& Yu, Minrong& Wu, Zijie. A New Two-Dimensional Mutual Coupled Logistic Map and Its Application for Pseudorandom Number Generator. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1197183
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197183