Cipher image damage and decisions in real time

• Published in: Journal of electronic imaging 2015-01, Vol.24 (1), p.013012-013012
• Main Authors: Silva-García, Victor Manuel, Flores-Carapia, Rolando, Rentería-Márquez, Carlos, Luna-Benoso, Benjamín, Jiménez-Vázquez, Cesar Antonio, González-Ramírez, Marlon David
• Format: Article
• Language: English
• ISSN: 1017-9909; 1560-229X
• DOI: 10.1117/1.JEI.24.1.013012

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.