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A class of topologically conjugated chaotic maps of tent map to generate independently and uniformly distributed chaotic key stream

Xu Zheng-Guang Tian Qing Tian Li

A class of topologically conjugated chaotic maps of tent map to generate independently and uniformly distributed chaotic key stream

Xu Zheng-Guang, Tian Qing, Tian Li
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Publishing process
  • Received Date:  13 January 2013
  • Accepted Date:  16 February 2013
  • Published Online:  05 June 2013

A class of topologically conjugated chaotic maps of tent map to generate independently and uniformly distributed chaotic key stream

  • 1. School of Automation, University of Science and Technology Beijing, Beijing 100083, China;
  • 2. School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing 100091, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 60573058).

Abstract: In this paper, a class of topologically conjugated maps of tent map is established, and the sampling rule is proved to generate the independently and uniformly distributed key streams. One example is given to show that the established chaotic system does not converge into zero in each parameter due to its nonlinear characteristic. Another example with different initial values and lengths of sequence is illustrated, in which the chaotic key stream generated by the proposed theorem is independently and uniformly distributed chaotic system and can successfully satisfy the randomness requirements in Federal Information Processing Standard 140-2(FIPS PUB 140-2) and National Institute of Standards and Technology Special Publication 800-22 (NIST SP800-22) test. The result in this paper can provide the theoretical foundation and more selections of systems to generate independently and uniformly distributed chaotic key stream.

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