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Application of chaotic maps in designing cryptographic pseudo random number generators

B. FATHI VAJARGAH1,* , R. ASGHAR2

Affiliation

  1. Department of Statistics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
  2. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran

Abstract

In this paper, the structure of chaotic maps and its applications in cryptography and designing cryptographic pseudo random number generators is studied. Three cryptographic pseudo random number generators based on chaotic functions are constructed. High sensitivity to initial conditions in chaotic maps has the main role in the design of proposed algorithms. Proposed algorithms are tested by correlation test and the NIST tests and compared by frequency histograms. The statistical analyses confirm the high quality of the algorithms such as uniformity, independency and randomness properties and the efficiency of proposed algorithms for cryptographic applications..

Keywords

Chaotic maps; Pseudo random number generators; Cryptography; Correlation test; NIST tests.

Submitted at: Nov. 30, 2015
Accepted at: Feb. 10, 2017

Citation

B. FATHI VAJARGAH, R. ASGHAR, Application of chaotic maps in designing cryptographic pseudo random number generators, Journal of Optoelectronics and Advanced Materials Vol. 19, Iss. 1-2, pp. 109-116 (2017)