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Cryptanalysis of an image encryption scheme based on the Hill cipher
Authors:Cheng-qing Li  Dan Zhang  Guan-rong Chen
Institution:[1]Department of Electronic Engineering, City University of Hong Kong, Kowloon Tong, Hong Kong, China [2]School of Computer Science and Technology, Zhejiang University; Hangzhou 310027, China
Abstract:This paper studies the security of an image encryption scheme based on the Hill cipher (Ismail et al., 2006) and reports its following problems: (1) There is a simple necessary and sufficient condition that makes a number of secret keys invalid; (2) It is insensitive to the change of the secret key; (3) It is insensitive to the change of the plain-image; (4) It can be broken with only one known/chosen plaintext; (5) It has some other minor defects. The proposed cryptanalysis discourages any use of the scheme in practice. Project supported by the National Basic Research Program of China (No. 2006CB303104) and the City University of Hong Kong under the SRG Project, China (No. 7002134)
Keywords:Cryptanalysis  Encryption  Hill cipher  Known-plaintext attack  Chosen-plaintext attack
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