Abstract
Both symmetric and asymmetric color image encryption have advantages and disadvantages. In order to combine their advantages and try to overcome their disadvantages, chaos synchronization is used to avoid the key transmission for the proposed semi-symmetric image encryption scheme. Our scheme is a hybrid chaotic encryption algorithm, and it consists of a scrambling stage and a diffusion stage. The control law and the update rule of function projective synchronization between the 3-cell quantum cellular neural networks (QCNN) response system and the 6th-order cellular neural network (CNN) drive system are formulated. Since the function projective synchronization is used to synchronize the response system and drive system, Alice and Bob got the key by two different chaotic systems independently and avoid the key transmission by some extra security links, which prevents security key leakage during the transmission. Both numerical simulations and security analyses such as information entropy analysis, differential attack are conducted to verify the feasibility, security, and efficiency of the proposed scheme.
Highlights
With the rapid growth of broadband communication, multimedia transmission has increased over the Internet, which makes information and communication systems more vulnerable.Image security has attracted a huge amount of attention due to the widespread interconnection of almost all devices and communication networks
We propose a semi-symmetric image encryption/decryption scheme based on the function projective synchronization
Cryptanalysis features an important method called differential attack to crack the encryption algorithm in order to quantitatively measure the influence of a one–pixel change on the cipher image. This influence can be measured via the number of pixel change rate (NPCR) and the unified averaged changing intensity (UACI), which are computed with the following formula: X
Summary
With the rapid growth of broadband communication, multimedia transmission has increased over the Internet, which makes information and communication systems more vulnerable. A previous study [26]proposed an image encryption/decryption algorithm with compound chaos mapping, in addition, a hyperchaotic system based on chaotic control parameters was put forward. Most chaos image encryption schemes are based on symmetric cryptographic techniques, which have been proven to be more vulnerable than an asymmetric cryptosystem [30]. Two chaotic systems synchronization phenomenon is similar to the asymmetric key mechanism, and they can synchronize with each other if they exchange information in just the right way This motivates us to use chaos synchronization to avoid the key transmission in order to combine the advantage of the symmetric and asymmetric encryption and try to overcome their shortcomings. We propose a new color image cryptosystem using a synchronization scheme for a 3-cell QCNN [33] and a 6th-order CNN [34]. The kth QCA state equation is obtained by the Schrödinger equation [36]:
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