skip to main content
10.1145/3271553.3271565acmotherconferencesArticle/Chapter ViewAbstractPublication PagesicvispConference Proceedingsconference-collections
research-article

An Improved Pseudo-Random Number Generator Based on the Logistic Chaotic

Published: 27 August 2018 Publication History

Abstract

The performance of the traditional one-dimensional Logistic chaotic pseudo-random number generator (PRNG) is analyzed. Furthermore, an improved algorithm for the statistical properties of the one-dimensional Logistic chaotic PRNG is proposed. Then, the paper demonstrates that the algorithm performed better than the traditional Logistic chaotic PRNG. The qualitative analysis and quantitative calculation prove that the randomness and uniformity of Logistic chaotic pseudorandom number are more advisable by the improved Logistic chaotic PRNG. Finally, the significance, the application in image encryption is discussed and tested in this paper.

References

[1]
de la Fraga, L. G., Torres-Pérez, E., Tlelo-Cuautle, E., and Mancillas-López, C. 2017. Hardware implementation of pseudorandom number generators based on chaotic maps. Nonlinear Dynamics. 90, 3, 1661--1670.
[2]
Deng, X. H., and Zhu, C. X. 2014. Image encryption algorithms based on chaos through dual scrambling of pixel position and bit. J. Commun. 3, 025.
[3]
Devaney, A. J. 1984. Geophysical diffraction tomography. IEEE Transactions on Geoscience and Remote Sensing. 1, 3--13.
[4]
Feng, Z., Fuhong, Z., Rong, Z., and Yanfen, C. 2015. Design and Simulation of a new Hybrid Chaotic Spread-spectrum Sequence. Journal of Hangzhou Dianzi University (Natural Sciences). 35, 1, 53--57.
[5]
Leigh, N. W., and Wegsman, S. 2018. Illustrating chaos: a schematic discretization of the general three-body problem in Newtonian gravity. Monthly Notices of the Royal Astronomical Society. 476, 1, 336--343.
[6]
Li, C. H., LI, Y. B., and ZHAO, L. 2014. Research on statistical characteristics of chaotic Pseudorandom Sequence for One-dimensional Logistic Map. Application Research of Computers. 31, 5, 1403--1406.
[7]
Li, T. Y., and Yorke, J. A. 1975. Period three implies chaos. The American Mathematical Monthly. 82, 10, 985--992.
[8]
Lin, Z., Guyeux, C., Yu, S., Wang, Q., and Cai, S. 2017. On the use of chaotic iterations to design keyed hash function. Cluster Computing. 1--15.
[9]
Lorenz, E. N. 1963. Deterministic nonperiodic flow. Journal of the atmospheric sciences. 20, 2, 130--141.
[10]
Rui, L. 2016. Self-adaptive Image Encryption Algorithm Based on Improved Logistic Chaotic Map. Computer and Modernization. 7, 13--17.
[11]
Ruijin, W., Beiqi, L., Dongdong, S., and Zefei, Z. 2017. Investigation on the splitting-merging passive micromixer based on Baker's transformation. Sensors and Actuators B: Chemical. 249, 395--404.
[12]
Shaw, R. 1981. Strange attractors, chaotic behavior, and information flow. Zeitschrift für Naturforschung A. 36, 1, 80--112.
[13]
Shukla, M. K., and Sharma, B. B. 2017. Investigation of chaos in fractional order generalized hyperchaotic Henon map. AEU-International Journal of Electronics and Communications. AEU-International Journal of Electronics and Communications. 78, 265--273.
[14]
Wang, C. F., and Ding, Q. 2017. SM4 key scheme algorithm based on chaotic system. Acta Physica Sinica. 66, 2, 020504.
[15]
Wolf, A., Swift, J. B., Swinney, H. L., and Vastano, J. A. 1985. Determining Lyapunov exponents from a time series. Physica D: Nonlinear Phenomena. 16, 3, 285--317.
[16]
Yi, X. 2005. Hash function based on chaotic tent maps. IEEE Transactions on Circuits and Systems II: Express Briefs. 52, 6, 354--357.
[17]
Yingfang, Z., and Gui, Z. 2015. Geospatial data encryption based on logistic map. Computer Applications and Software. 32, 12, 310--312.
[18]
Yu, W. B., and Yang, L. Z. 2013. Chaos analysis of the conic in planar unit area. Acta Physica Sinica. 62, 2, 20503--020503.

Index Terms

  1. An Improved Pseudo-Random Number Generator Based on the Logistic Chaotic

      Recommendations

      Comments

      Information & Contributors

      Information

      Published In

      cover image ACM Other conferences
      ICVISP 2018: Proceedings of the 2nd International Conference on Vision, Image and Signal Processing
      August 2018
      402 pages
      ISBN:9781450365291
      DOI:10.1145/3271553
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      Published: 27 August 2018

      Permissions

      Request permissions for this article.

      Check for updates

      Author Tags

      1. Chaos
      2. One-dimensional Logistic Mapping
      3. Pseudorandom Number
      4. Topological Conjugate

      Qualifiers

      • Research-article
      • Research
      • Refereed limited

      Conference

      ICVISP 2018

      Acceptance Rates

      Overall Acceptance Rate 186 of 424 submissions, 44%

      Contributors

      Other Metrics

      Bibliometrics & Citations

      Bibliometrics

      Article Metrics

      • 0
        Total Citations
      • 56
        Total Downloads
      • Downloads (Last 12 months)5
      • Downloads (Last 6 weeks)0
      Reflects downloads up to 05 Mar 2025

      Other Metrics

      Citations

      View Options

      Login options

      View options

      PDF

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader

      Figures

      Tables

      Media

      Share

      Share

      Share this Publication link

      Share on social media