An Effective Chaos‐Based Image Encryption Scheme Using Imitating Jigsaw Method

Abstract

In this paper, an efficient chaos-based image encryption scheme is proposed, which uses the imitating jigsaw method containing revolving and shifting operations. In this scheme, there are three processes in encryption: preprocessing, encryption process, and postprocessing. In the preprocessing, the original image is partitioned into 64 × 64 pixel image blocks and then randomly revolved and shifted under control sequences which are generated by the hyperchaotic Lorenz system whose initial conditions are calculated by original image and keys. Therefore, the preprocessing is sensitive to plain image against differential attacks. In the encryption process, the after-preprocessing image is partitioned into 32 × 32 pixel image blocks; next they are randomly revolved and encrypted by control sequence and key blocks which are generated by the skew tent map. In postprocessing, the after-encryption image is partitioned into 16 × 16 pixels’ image blocks, and they are randomly revolved and shifted again under control sequences which are related with encrypted image and keys. The postprocessing further increases the diffusion characteristics. Moreover, the test experiment and security analyses are given; the results show that our proposed cryptosystem has both security and speed performance.

Chaotic Map Optimization for Image Encryption Using Triple Objective Differential Evolution Algorithm

“…In general, they are based on logistic [11], [12], [15], [17], [18], [21], [25], sine/cosine [23], [25], [29], memristive [24], henon [29], Chebyshev [32], coupled lattice [10] and cellular automata [31], [40]. As the cryptanalyses are compared among each other, the key-spaces in [10], [19], [22]- [24], [28], [32] can be regarded the shorter, those in [14], [18], [26], [36] are medium and those in [11], [16], [20], [21], [25], [29], [34], [35], [40], [41] are considered the longer. The mean entropy can be quantized better [20], moderate [14], [24]- [31], [41] and worse [10], [11], [15], [18], [19], [21],…”

“…As the cryptanalyses are compared among each other, the key-spaces in [10], [19], [22]- [24], [28], [32] can be regarded the shorter, those in [14], [18], [26], [36] are medium and those in [11], [16], [20], [21], [25], [29], [34], [35], [40], [41] are considered the longer. The mean entropy can be quantized better [20], moderate [14], [24]- [31], [41] and worse [10], [11], [15], [18], [19], [21], [32]- [34], [40]. As the mean correlation coefficients for diagonal, horizontal and vertical directions in [11], [12], [14], [24] seem lower, those in [15], [16], [31]- [36], [40], [41], [19]- [21], [23], …”

“…The mean entropy can be quantized better [20], moderate [14], [24]- [31], [41] and worse [10], [11], [15], [18], [19], [21], [32]- [34], [40]. As the mean correlation coefficients for diagonal, horizontal and vertical directions in [11], [12], [14], [24] seem lower, those in [15], [16], [31]- [36], [40], [41], [19]- [21], [23], [26]- [29] appears moderate and those in [10], [13], [18], [25], [30] look higher. Differential attack can be analyzed in terms of NPCR and UACI which are the randomness test.…”

Analytic Study of a Novel Color Image Encryption Method Based on the Chaos System and Color Codes

“…ese features of chaotic maps enable them to be highly recommended for creating the confusion and diffusion in image encryption. For instance, see references [18][19][20][21][22][23].…”

Image Encryption and Decryption System through a Hybrid Approach Using the Jigsaw Transform and Langton’s Ant Applied to Retinal Fundus Images

“…Some methods combine chaos theory and permutation techniques to improve the encryption results. For example, in [8] the authors proposed a chaos-based image encryption method and imitating the Jigsaw technique as a scrambling scheme, its proposal consists of three steps, a pre-processing, encryption, and post-processing stage, in pre-processing and post-processing stages the hyperchaotic Lorenz system is used to generate the control sequences of revolving and shifting image blocks, whilst in the encryption process, the skew tent system is applied to revolving image blocks. In [9] an image encryption system using the Jigsaw transform (JT) and the iterative finite field cosine transform is presented.…”