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Journal of Electronic Imaging • Open Access

Cipher image damage and decisions in real time
Author(s): Victor Manuel Silva-García; Rolando Flores-Carapia; Carlos Rentería-Márquez; Benjamín Luna-Benoso; Cesar A. Jiménez-Vázquez; Marlon D. González-Ramírez

Paper Abstract

This paper proposes a method for constructing permutations on m position arrangements. Our objective is to encrypt color images using advanced encryption standard (AES), using variable permutations means a different one for each 128-bit block in the first round after the x-or operation is applied. Furthermore, this research offers the possibility of knowing the original image when the encrypted figure suffered a failure from either an attack or not. This is achieved by permuting the original image pixel positions before being encrypted with AES variable permutations, which means building a pseudorandom permutation of 250,000 position arrays or more. To this end, an algorithm that defines a bijective function between the nonnegative integer and permutation sets is built. From this algorithm, the way to build permutations on the 0,1,…,m−1 array, knowing m−1 constants, is presented. The transcendental numbers are used to select these m−1 constants in a pseudorandom way. The quality of the proposed encryption according to the following criteria is evaluated: the correlation coefficient, the entropy, and the discrete Fourier transform. A goodness-of-fit test for each basic color image is proposed to measure the bits randomness degree of the encrypted figure. On the other hand, cipher images are obtained in a loss-less encryption way, i.e., no JPEG file formats are used.

Paper Details

Date Published: 9 January 2015
PDF: 13 pages
J. Electron. Imaging. 24(1) 013012 doi: 10.1117/1.JEI.24.1.013012
Published in: Journal of Electronic Imaging Volume 24, Issue 1
Show Author Affiliations
Victor Manuel Silva-García, Instituto Politécnico Nacional (Mexico)
Rolando Flores-Carapia, Instituto Politécnico Nacional (Mexico)
Carlos Rentería-Márquez, Instituto Politécnico Nacional (Mexico)
Benjamín Luna-Benoso, Instituto Politécnico Nacional (Mexico)
Cesar A. Jiménez-Vázquez, Instituto Politécnico Nacional (Mexico)
Marlon D. González-Ramírez, Instituto Politécnico Nacional (Mexico)

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