A Novel image Encryption Algorithm Based on Plaintext-related Hybrid Modulation Map

Derived from 1D-Tent map and 1D-Logistic map, a plaintext-related hybrid modulation map (PHMM) which modulated by variance contribution rate of singular values of plaintext image is proposed in this paper. The performance of PHMM was verified by the bifurcation diagram, Lyapunov exponent (LE) and Spearman correlation test. Based on PHMM, a pixel scrambling method called non-repetitive chaotic displacement (NRCD) is proposed. Then a novel image encryption algorithm is proposed based on the combination of NRCD and bit-plane reconstruction. In this algorithm, the permutation and diffusion processes are completed simultaneously. This algorithm has better performance in the tests of statistical characteristics, sensitivity, secret key and efficiency.