Abstract
Aiming at the problem of a small parameter value range when a one-dimensional chaotic system presents a chaotic state, this paper proposes a new type of hybrid power exponential chaotic system (HPECS). HPECS combines the classic one-dimensional Sine chaotic system to form a new chaotic system (HPECS-SS). Experiments show that the obtained new chaotic system has better chaotic performance, a more extensive parameter value range, and higher sensitivity. Simultaneously, on the basis of HPECS-SS, a new image encryption algorithm is proposed. The algorithm uses the key generated by the SHA-512 algorithm and HPECS-SS to iteratively output the chaotic sequence, SFY algorithm combines the chaotic sequence to perform two rounds of scrambling on the plaintext sequence to obtain the scrambling sequence, and finally, through the modulus operation to diffuse the scrambling sequence to form the encryption matrix of the plaintext image, simulation experiment analysis shows that the algorithm has a large key space, good encryption effect, and security; the pixel change rate (NPCR) and the normalized average change intensity (UACI) are close to ideal values which can resist various cryptanalysis and attacks.
Highlights
With the rapid development of the Internet and multimedia transmission technology, image information has become an essential part of people’s daily lives
If the chaotic map is improved to produce a more complex chaotic sequence, and the image is encrypted, will there be a better encryption effect? In order to expand the value range of the parameters of the chaotic system and obtain a more complex chaotic sequence, so that the image encryption has better confidentiality, this paper proposes a new hybrid power exponential chaotic system, which is substituted into a typical one-dimensional chaotic system to form a new chaotic system (HPECS-SS) compared with a typical one-dimensional chaotic system
E structure of this paper is as follows: Section 2 reviews the classic one-dimensional chaotic system and proposes HPECS and analyses HPECS-SS; Section 3 proposes an image encryption algorithm based on HPECS; Section 4 gives the decryption of the encryption algorithm scheme; Section 5 is the experimental analysis of the grayscale image encryption effect; Section 6 is the summary of this article
Summary
With the rapid development of the Internet and multimedia transmission technology, image information has become an essential part of people’s daily lives. E chaotic system has the characteristics of pseudorandomness, extremely high sensitivity to initial values, and unpredictability, making it very suitable for image encryption systems and can improve the efficiency of the security of the encryption system [5,6,7,8,9]. E initial conditions are determined by the real random number generator With generation, this algorithm makes even the same image; after encryption, it will be significantly different, ensuring the security level of the image. In order to expand the value range of the parameters of the chaotic system and obtain a more complex chaotic sequence, so that the image encryption has better confidentiality, this paper proposes a new hybrid power exponential chaotic system (hybrid power exponential chaotic system: HPECS), which is substituted into a typical one-dimensional chaotic system to form a new chaotic system (HPECS-SS) compared with a typical one-dimensional chaotic system. E structure of this paper is as follows: Section 2 reviews the classic one-dimensional chaotic system and proposes HPECS and analyses HPECS-SS; Section 3 proposes an image encryption algorithm based on HPECS; Section 4 gives the decryption of the encryption algorithm scheme; Section 5 is the experimental analysis of the grayscale image encryption effect; Section 6 is the summary of this article
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