Abstract:Scramble algorithms,which are also called pure-position permutation algorithms,are commonly used as an image ancryption,are investigated in this paper.Unfortunately, they are frail under known-text attack.According to the weakness of pure position permutation algorithm,We put forward an effective decryption algorithm for aIl pure-position permutation algorithms.First,a summary of the pure position permutation image encryption algorithms is given by introducing the concept ofergodic nieces.Secondly,by using probability theory and algebra knowledge,the declyption probabilit:of pure-position permutation algorithms is verified theoretically. Then,by defining operation system of fuzzy ergodic matrices,we improve a specific decryption algorithm.Finally some simulation results are shown.