Theorem to Generate Independently and Uniformly Distributed Chaotic Key Stream via Topologically Conjugated Maps of Tent Map
Joint Authors
Xu, Zheng guang
Tian, Qing
Tian, Li
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-21
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper proposes a theorem to generate chaotic key stream from topologically conjugated maps of Tent Map.
In this theorem, the condition for topological conjugation between Tent Map and a class of chaotic maps is first determined.
Then, the chaotic attractor of the maps is divided into 2n unequal subintervals, the chaotic orbit is sampled once in n time iteration, and, finally, the independently and uniformly distributed 2n phase key stream is obtained.
The theoretical and numerical analyses show that the chaotic key stream generated by the proposed theorem successfully is independent and uniform, has a certain complex degree close to the maximum approximate entropy for 2n phase key stream, and satisfies the randomness requirement defined in NIST SP800-22.
This theorem can be used in fields such as cryptography and numerical simulation.
American Psychological Association (APA)
Xu, Zheng guang& Tian, Qing& Tian, Li. 2012. Theorem to Generate Independently and Uniformly Distributed Chaotic Key Stream via Topologically Conjugated Maps of Tent Map. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1001774
Modern Language Association (MLA)
Xu, Zheng guang…[et al.]. Theorem to Generate Independently and Uniformly Distributed Chaotic Key Stream via Topologically Conjugated Maps of Tent Map. Mathematical Problems in Engineering No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-1001774
American Medical Association (AMA)
Xu, Zheng guang& Tian, Qing& Tian, Li. Theorem to Generate Independently and Uniformly Distributed Chaotic Key Stream via Topologically Conjugated Maps of Tent Map. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1001774
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001774