Image Encryption using Chaos-Driven Elliptic Curve Pseudo-Random Number Generators

Authors

Omar Reyad, Faculty of Electronics and Information Technology, Warsaw University of Technology, Poland\\ Faculty of Science, Sohag University, EgyptFollow
Zbigniew Kotulski, Faculty of Electronics and Information Technology, Warsaw University of Technology, PolandFollow
W. M. Abd-Elhafiez, Faculty of Science, Sohag University, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

Pseudo-random number sequences which using the form of elliptic curves can be generated efficiently in software or hardware by the same methods that are used for the implementation of elliptic curve (EC) public-key cryptosystems. In this paper, we proposed a secure image encryption scheme using key sequences generated from Chaos-Driven Elliptic Curve Pseudo-random Number Generator (C-D ECPRNG). This key sequences derived from random sequences based on EC points operations driven by a chaotic map. These constructions improve randomness properties of the generated sequences since it combines good statistical properties of an ECPRNG and a Chaotic Pseudo-random Number Generator (CPRNG). Entropy analysis of two test images shows that randomness of the ciphered images with the proposed key schemes are more random than in case of the ECPRNG without modulation by a chaotic map. Statistical and differential analysis demonstrate that the proposed schemes have adequate security for the confidentiality of digital images and the encryption is efficient compared to other competitive algorithms.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100407

Recommended Citation

Reyad, Omar; Kotulski, Zbigniew; and M. Abd-Elhafiez, W. (2016) "Image Encryption using Chaos-Driven Elliptic Curve Pseudo-Random Number Generators," Applied Mathematics & Information Sciences: Vol. 10: Iss. 4, Article 7.
DOI: http://dx.doi.org/10.18576/amis/100407
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss4/7