Image compression-encryption scheme based on fractional order hyper-chaotic systems combined with 2D compressed sensing and DNA encoding

An image compression-encryption scheme is proposed based on fractional order hyper-chaotic systems combined with 2D compressed sensing (CS) and DNA encoding. This scheme adopts the CS technique to cut down the size of the original image proportionally in the encryption process and the construction parameters of the CS measurement matrix are controlled by fractional order hyper-chaotic systems. The chaotic sequences generated by fractional order hyper-chaotic systems are used to dynamically control DNA encoding and DNA operation mode to improve the complexity of encryption process. The fractional order and initial value of the fractional hyper-chaotic system are used as the key of the encryption scheme, which greatly expands the key space of the proposed scheme. The proposed scheme maximizes the utilization of chaotic sequences generated by fractional order hyper-chaotic systems, and the chaotic sequences fit perfectly with the whole process of the scheme. The experimental results and security analysis show the security of the scheme against multiple attacks.