Open AccessAsymmetric image encryption scheme based on the Quantum logistic map and cyclic modulo diffusion
Author(s) -
Guodong Ye,
Huishan Wu,
Kaixin Jiao,
Manli Duan
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2021275
Subject(s) - keystream , encryption , mathematics , modulo , algorithm , plaintext , scrambling , image (mathematics) , ciphertext , cryptography , cryptanalysis , theoretical computer science , computer science , discrete mathematics , artificial intelligence , operating system
In this study, a novel asymmetric image encryption scheme based on the Rivest-Shamir-Adleman (RSA) algorithm and Arnold transformation is proposed. First, the asymmetric public key RSA algorithm is used to generate the initial values for a quantum logistic map. Second, the parameters of the Arnold map are calculated. Then, Arnold scrambling operation is performed on the plain image to achieve the rough hiding of image information. Third, each row and each column of the image are taken as different units respectively and then exclusive-OR (XOR) diffusion is applied. Finally, the generated keystream is used to perform an end-to-start cyclic modulo diffusion operation for all rows and columns to produce the final cipher image. In addition, the keystream is related to the plain image, which can enhance the ability to resist chosen plaintext attack and known plaintext attack. The test results also show that the proposed encryption algorithm has strong plain sensitivity and key sensitivity.