Abstract
This paper proposes a chaotic color image encryption scheme based on DNA-coding calculations and arithmetic over the Galois field. Firstly, three modified one-dimensional (1D) chaotic maps with larger key space and better chaotic characteristics are presented. The experimental results show that their chaotic intervals are not only expanded to 0,15, but their average largest Lyapunov Exponent reaches 10. They are utilized as initial keys. Secondly, DNA coding and calculations are applied in order to add more permutation of the cryptosystem. Ultimately, the numeration over the Galois field ensures the effect for the diffusion of pixels. The simulation analysis shows that the encryption scheme proposed in this paper has good encryption effect, and the numerical results verify that it has higher security than some of the latest cryptosystems.
Highlights
Information security is an important issue in information communication nowadays
(1) We propose improved 1D chaotic maps that are more appropriate for image encryption
The measured indicators are the number of pixels change rate (NPCR) and the unified average changing intensity (UACI), which can be defined as follows: NPCRR,G,B
Summary
Information security is an important issue in information communication nowadays. With the advancement of information technology, plenty of digital contents are stored and transmitted in various forms. We propose three improved 1D chaotic maps with better dynamic complexity for our encryption scheme. In [19], Zhang et al proposed an image encryption scheme with DNA sequence addition operation and two Logistic maps. In [22], Zhen et al introduced an encryption method based on spatiotemporal chaotic systems and Logistic map. (1) We propose improved 1D chaotic maps that are more appropriate for image encryption Do they have better chaotic properties but they are easier to be operated on hardware and software. (2) We design the calculation modes of the encoded DNA matrixes to be randomly decided by the chaotic sequences which are updated by plain images In this case, the cryptosystem is more robust.
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