Image encryption and decryption method based on fractional order translation chaotic system

Abstract

The invention discloses an image encryption and decryption method based on a fractional order translation chaotic system, and relates to the fields of computer cryptography, image encryption processing and communication and network engineering, which can solve the problems that initial conditions of an existing chaotic system are not associated with plaintexts, plaintext attacks cannot be resisted, and the safety is poor. According to themethod, translation transformation is conducted on the fractional order chaotic system by introducing a piecewise function, parameters are set, different numbers of scroll attractors can be generated, and the fractional order translation chaotic system perfects the field of fractional order chaotic systems composed of three-dimensional one-time autonomousconstant differential. Meanwhile, the fractional order multi-scroll chaotic system has higher dimension space and higher initial value sensitivity, the image encryption and decryption algorithm basedon the system is high in randomness and multiple in secret key parameters, a multi-iteration mode is adopted in the encryption process, an encrypted ciphertext matrix becomes very uniform, and therefore the purpose of effectively hiding original image information is achieved.

Description

technical field [0001] The invention relates to the fields of computer cryptography, image encryption processing, communication and network engineering, in particular to an image encryption and decryption method based on a fractional-order multi-scroll chaotic system. Background technique [0002] With the rapid development of information technology, people's life has become more and more convenient. As one of the important forms of information, digital images are easy to be stolen and tampered with during transmission, so their security issues have attracted widespread attention. Image encryption technology is the most economical and effective method to protect image information security, and it is a very practical key technology that needs to be developed rapidly. Currently there are many different image encryption schemes, such as airspace encryption schemes, frequency domain encryption schemes, and adaptive encryption. Because the chaotic map is sensitive to the initia...

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Problems solved by technology

[0004] The present invention provides an image encryption and decryption method based on a fractional-order translational chaotic system in order to solve the problems of lack of correlation between the initial condition of the existing chaotic system and the plaintext, which is not conducive to resisting plaintext attacks and resulting in poor security.

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