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A new image encryption scheme based on DNA sequence addition operation and chaos is presented. First, a DNA sequence matrix is obtained by encoding the original image, then, divide the DNA sequence matrix into some equal blocks and use the DNA sequence addition operation to add these blocks. Next, perform the DNA sequence complement operation to the result of the added matrix by using two Logistic maps. Finally, decode the DNA sequence matrix from the third step, and we can get the encrypted image. The simulation experimental results and security analysis show that our scheme not only can achieve good encryption, but can also resist exhaustive attack, statistical attack and differential attack.