Abstract
In the edge computing and network communication environment, important image data need to be transmitted and stored securely. Under the condition of limited computing resources, it is particularly necessary to design effective and fast image encryption algorithms. One-dimensional (1D) chaotic maps provide an effective solution for real-time image encryption, but most 1D chaotic maps have only one parameter and a narrow chaotic interval, which has the disadvantage of security. In this paper, a new compound 1D chaotic map composed of a logistic map and tent map is proposed. The new system has two system parameters and an arbitrarily large chaotic parameter interval, and its chaotic signal is evenly distributed in the whole value space so it can improve the security in the application of information encryption. Furthermore, based on the new chaotic system, a fast image encryption algorithm is proposed. The algorithm takes the image row (column) as the cyclic encryption unit, and the time overhead is greatly reduced compared with the algorithm taking the pixel as the encryption unit. In addition, the mechanism of intermediate key associated with image content is introduced to improve the ability of the algorithm to resist chosen-plaintext attack and differential attack. Experiments show that the proposed image encryption algorithm has obvious speed advantages and good cryptographic performance, showing its excellent application potential in secure network communication.
Highlights
In today’s networking information age, human communication and information exchange mainly rely on network digital communication, and multimedia digital communication plays an important role in human digital communication
Some new image encryption schemes based on different theories and technologies have attracted the attention of researchers
The compound map has a very wide range of chaotic parameters and the system structure is simple, which can realize fast calculation and is more suitable for real-time image encryption processing. It can generate a uniformly distributed sequence filled with the whole state value space, which validates its application in cryptography with a large enough secret key space and can resist the violent attack of key exhaustion
Summary
In today’s networking information age, human communication and information exchange mainly rely on network digital communication, and multimedia digital communication plays an important role in human digital communication. The compound map has a very wide range of chaotic parameters and the system structure is simple, which can realize fast calculation and is more suitable for real-time image encryption processing It can generate a uniformly distributed sequence filled with the whole state value space, which validates its application in cryptography with a large enough secret key space and can resist the violent attack of key exhaustion. (2) Based on the new chaotic system, a new image encryption algorithm is proposed, which combines the traditional permutation and substitution operations and simultaneously realizes the pixel position permutation and pixel value substitution It can improve the encryption speed, and increase the difficulty of deciphering the key.
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