title: Decryption of pure-position permutation algorithms.
abstract: Pure position permutation image encryption algorithms, commonly used as image encryption investigated in this work are unfortunately frail under known-text attack. In view of the weakness of pure position permutation algorithm, we put forward an effective decryption algorithm for all pure-position permutation algorithms. First, a summary of the pure position permutation image encryption algorithms is given by introducing the concept of ergodic matrices. Then, by using probability theory and algebraic principles, the decryption probability of pure-position permutation algorithms is verified theoretically; and then, by defining the operation system of fuzzy ergodic matrices, we improve a specific decryption algorithm. Finally, some simulation results are shown.
authors.affiliation: Institute of DSP and Software Techniques, Ningbo University, Ningbo 315211, China. zhxiaoyu@math.zju.edu.cn.
authors.forename: Xiao-Yu
authors.initials: XY
authors.lastname: Zhao
authors.forename: Gang
authors.initials: G
authors.lastname: Chen
authors.forename: Dan
authors.initials: D
authors.lastname: Zhang
authors.forename: Xiao-Hong
authors.initials: XH
authors.lastname: Wang
authors.forename: Guang-Chang
authors.initials: GC
authors.lastname: Dong
mesh_terms: D000465:Algorithms; D003196:Computer Graphics; D016494:Computer Security; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D016247:Information Storage and Retrieval / Q000379:methods*; D010363:Pattern Recognition, Automated / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D012815:Signal Processing, Computer-Assisted