Abstract In this paper, we propose a new image encryption algorithm based on the Compound chaotic image encryption algorithm. The original one can’t resist chosen-plaintext attack and has weak statistical security, but our new algorithm can resist the chosen-plaintext attack using a simple improvement solution. The improvement solution is novel and transplantable, it can also be used to enhance the ability of resisting differential attack of other image encryption algorithms. The experimental results show that the new algorithm has higher security but its encryption speed is very nearly the same as the original one.

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