An invertible and anti-chosen plaintext attack image encryption method based on DNA encoding and chaotic mapping

With the rapid development of network, more and more digital images need to be stored and communicated. Due to the openness and network sharing, the problems of digital image security become an important threat In this paper, we propose a novel gray image encryption algorithm based on chaotic mapping and DNA (Deoxyribonucleic Acid) encoding. We solve the error of irreversibility of a previous work, which can only encrypt the plain image, and cannot decrypt the cipher image with the correct secret key and can be attacked by the chosen plaintext. To make the algorithm invertible, we encode the input gray image by DNA encoding and generate a random matrix based on the logistic chaotic mapping. The DNA addition operation is conducted on the random matrix follow by the DNA complement operation guided by a random binary matrix generate by 2 logistic chaotic mapping sequences. We solve the problem of the irreversibility successfully. In addition, the algorithm can now resistant the several attacks such as chosen plaintext attack, brute-force attack, and statistic attack.