Novel image compression–encryption hybrid scheme based on DNA encoding and compressive sensing

A novel and effective image compression–encryption scheme based on deoxyribonucleic acid (DNA)-encoding theory and compressed sensing (CS) theory is proposed. The logistic map is applied to control key image and measurement matrices, and to control DNA encoding and decoding rules used to encode and decode each row of the plain image and the key image. The plain image first forms a disordered image through DNA encryption stage, sorts it to obtain an ordered image through sorting stage, and then passes the ordered image through CS encryption stage to form a cipher image. Simulation results and attack analysis verify the validity and feasibility of the encryption scheme, whose compression and security is acceptable.