Abstract

In this paper, we construct a five dimensional continuous hyperchaotic system and propose an image encryption scheme based on the hyperchaotic system, which adopts DNA dynamic coding mechanism and classical scrambling diffusion encryption structure. In the diffusion stage, two rounds of diffusion are adopted and the rules of DNA encoding (DNA decoding) are dynamically changed according to the pixel value of the plaintext image, that is, the rules of DNA encoding (DNA decoding) used to encrypt different images are different, which makes the algorithm can resist chosen-plaintext attack. The encryption (decryption) key is only the initial value of the chaotic system, which overcomes the difficulty of key management in the “one time pad” encryption system. The experimental results and security analysis show that the algorithm has some advantages of large key space, no obvious statistical characteristics of ciphertext, sensitivity to plaintext and key and able to resist differential attacks and chosen plaintext attack. It has good application prospects.

Highlights

  • In recent years, with the rapid development of computer and network technologies, great changes have taken place in the means of communication; media communication has gradually become an important means of information exchange

  • This paper proposes a dynamic DNA coding method, that is, according to the random matrix generated by the chaotic system, the pixels at different positions are adopted different DNA coding rules in the eight DNA

  • The algorithm consists of two stages: scrambling stage and two rounds of diffusion stage

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Summary

Introduction

With the rapid development of computer and network technologies, great changes have taken place in the means of communication; media communication has gradually become an important means of information exchange. Compared with traditional encryption algorithms, image encryption algorithm based on chaos theory has more advantages in security, complexity and speed [4,5,6,7,8,9] In recent years, it has gradually become a hot research topic [10,11,12,13,14]. Gehani et al proposed an image encryption method with “one-time pad” effect based on DNA coding, which can resist the attack of chosen-plaintext (ciphertext) [32]. In order to enhance security, this paper proposes an image encryption algorithm based on hyperchaos and dynamic DNA coding.

The New 5D Hyperchaotic System
Dissipativity
Equilibrium Point and Stability
Lyapunov Exponents and Bifurcation
DNA Coding and Decoding Operation
The Key Generating Scheme
Encryption Algorithm
The Permutation Process
3: Get the temporary ciphertext value
The Second Round of Diffusion Process
The First Round of Inverse Diffusion
The Second Round of Inverse Diffusion
Inverse
Experimental
The Encryption Effect
Simulation
Statistical Characteristics Analysis
Correlation Coefficient
Distribution thethe plain image
Information
Key Sensitivity Analysis
It can be seen that
Plaintext Sensitivity Analysis
Resistance to Typical Attacks
Conclusions
Full Text
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