Theorem to Generate Independently and Uniformly Distributed Chaotic Key Stream via Topologically Conjugated Maps of Tent Map. (21st November 2012)

• Record Type: Journal Article
• Authors: Xu, Zheng guang; Tian, Qing; Tian, Li
• Other Names: Wong Kwok-Wo Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2012(2012)
• Publication Date: 2012-11-21
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2012/619257
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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 2 n unequal subintervals, the chaotic orbit is sampled once in n time iteration, and, finally, the independently and uniformly distributed 2 n 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 2 n 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.