Image Encryption using Chaos-Driven Elliptic Curve Pseudo-random Number Generators
Omar Reyad , Zbigniew Kotulski , W. M. Abd-Elhafiez
AbstractPseudo-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.
|Journal series||Applied Mathematics & Information Sciences, ISSN 2325-0399, [1935-0090]|
|Publication size in sheets||0.5|
|Keywords in English||Elliptic Curve Cryptography, Random Number Generator, Image Encryption, Chaotic Maps|
|ASJC Classification||; ; ; ;|
|Project||The Develpment of Digital Communicatios. Project leader: Siuzdak Jerzy,
, Phone: +48 22 234-7868, start date 27-04-2015, end date 31-12-2016, IT/2015/statut, Completed
|Score|| = 0.0, 20-03-2020, ArticleFromJournal|
= 30.0, 20-03-2020, ArticleFromJournal
|Publication indicators||= 7.0; = 3; : 2016 = 0.632; : 2013 = 1.232 (2) - 2013=1.204 (5)|
|Citation count*||7 (2020-06-29)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.