Abstract
Recently, an image encryption algorithm based on DNA encoding and spatiotemporal chaos (IEA-DESC) was proposed. In IEA-DESC, pixel diffusion, DNA encoding, DNA-base permutation and DNA decoding are performed successively to generate cipher-images from the plain-images. Some security analyses and simulation results are given to prove that it can withstand various common attacks. However, in this paper, it is found that IEA-DESC has some inherent security defects as follows: (1) the pixel diffusion is invalid for attackers from the perspective of cryptanalysis; (2) the combination of DNA encoding and DNA decoding is equivalent to bitwise complement; (3) the DNA-base permutation is actually a fixed position shuffling operation for quaternary elements, which has been proved to be insecure. In summary, IEA-DESC is essentially a combination of a fixed DNA-base position permutation and bitwise complement. Therefore, IEA-DESC can be equivalently represented as simplified form, and its security solely depends on the equivalent secret key. So the equivalent secret key of IEA-DESC can be recovered using chosen-plaintext attack and chosen-ciphertext attack, respectively. Theoretical analysis and experimental results show that the two attack methods are both effective and efficient.
Highlights
With the rapid development of information technologies such as mobile Internet, cloud computing, social networking, and Big Data, the security of multimedia data such as image and video has attracted more and more attention [1,2,3]
In 2015, an image encryption algorithm based on DNA encoding and spatiotemporal chaos (IEA-DESC) was proposed [37]
Two discrete chaotic maps are used in IEA-DESC [37], one is the logistic map and the other is a spatiotemporal chaos map based on the so-called new chaotic algorithm (NCA) given in Reference [41]
Summary
With the rapid development of information technologies such as mobile Internet, cloud computing, social networking, and Big Data, the security of multimedia data such as image and video has attracted more and more attention [1,2,3]. With the security analysis and breaking of some existing chaotic image algorithms combining DNA computing and chaos theory [25,26,27,28,29,30], research interest in cryptanalysis has become. In 2015, an image encryption algorithm based on DNA encoding and spatiotemporal chaos (IEA-DESC) was proposed [37]. In IEA-DESC, pixel diffusion, DNA encoding, DNA-base permutation, and DNA decoding are adopted successively to obtain cipher-images from plain-images. On the basis of the basic rules of cryptanalysis, under the condition of a given secret key, the encryption sequences are fixed for different plain-images.
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