Abstract
We propose a new chaotic map combined with delay and cascade, called tent delay-sine cascade with logistic map (TDSCL). Compared with the original one-dimensional simple map, the proposed map has increased initial value sensitivity and internal randomness and a larger chaotic parameter interval. The chaotic sequence generated by TDSCL has pseudo-randomness and is suitable for image encryption. Based on this chaotic map, we propose an image encryption algorithm with a symmetric structure, which can achieve confusion and diffusion at the same time. Simulation results show that after encryption using the proposed algorithm, the entropy of the cipher is extremely close to the ideal value of eight, and the correlation coefficients between the pixels are lower than 0.01, thus the algorithm can resist statistical attacks. Moreover, the number of pixel change rate (NPCR) and the unified average changing intensity (UACI) of the proposed algorithm are very close to the ideal value, which indicates that it can efficiently resist chosen-plain text attack.
Highlights
With the development of information technologies, data security has aroused wide public concern.As an important data format, images occupy a large proportion of network data
To verify the feasibility of the encryption algorithm proposed in this paper, some pictures were used for testing
We constructed a new chaotic map, named tent delay-sine cascade with logistic map (TDSCL), which combines the delay tent map with the sine map, which is cascaded with the logistic map
Summary
With the development of information technologies, data security has aroused wide public concern. Many chaotic image encryption algorithms have been proposed [1,2,3,4,5,6,7,8,9,10] due to the excellent properties of chaotic maps, such as initial value sensitivity and intrinsic randomness. This paper proposes a new framework that combines the cascade model and delay This framework rationally integrates three chaotic maps to overcome the performance flaws of one-dimensional (1D) chaotic maps [16]. Based on the proposed chaotic map, we constructed a new image encryption algorithm. A new simultaneous confusion and diffusion algorithm is proposed, which is applied in the vertical and horizontal directions based on an XOR operation.
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