A Novel 3D Vector Decomposition for Color-Image Encryption

Abstract

In this paper, a novel 3D vector decomposition is proposed for color-image encryption, in which a 3D vector is decomposed into two 3D vectors with random size in a random plane for providing a reliable security constraint. The technique of 3D vector decomposition, as far as we know, firstly offers a three-component encryption with one action, which fits well color-image encryption, and outputs a real ciphertext, which is convenient for recording and transmission. Furthermore, we employ an 1D chaos, which has strong chaotic properties, and reality-preserving fractional Hartley transform to cooperate 3D vector decomposition for constructing a color-image cryptosystem. Therefore, the proposed cryptosystem accomplishes improved security by reducing the single-channel attack risk in individual color-image encryption and avoiding the vulnerable channel in sequential color-image encryption as well as reduced the amount of data of transform-based cryptosystem by avoiding the complex output. Also, it has the advantages of strong chaotic performances, large key space and high key sensitivity, which is highly robust against various attacks. Experimental results show the effectiveness and superiority of the proposed cryptosystem.

2D Sin-Cos-Henon Map for Color Image Encryption with High Security

“…Compared with Refs. [13,[33][34][35][36][37], we can see that the correlation between the adjacent pixels of the ciphertext obtained by the encryption algorithm in this paper is smaller, so this algorithm has higher security and it can resist statistical attacks.…”

“…[35] 0.0006 -0.0017 -0.0008 Ref. [36] 0.0013 0.0022 0.0006 Ref. [37] -0.0747 -0.0015 -0.0013 The calculation formula is as follows:…”

A novel solar radio spectrogram encryption algorithm based on parameter variable chaotic systems and DNA dynamic encoding

“…Step 11: Scramble pixels in the same position of the matrices R k , G k and B k randomly as described in equation (14). Figure 12 shows the specific illustration of the random scrambling of three-component pixels:…”

“…Due to some inherent features of digital images, such as high redundancy [4], large data capacities and strong correlation [5], common encryption algorithms, such as the data encryption algorithm (DES) and international data encryption algorithm (IDEA), do not encrypt digital images effectively [6,7]. Chaos-based cryptosystems have better encryption performance [8,9] due to the inherent characteristics of chaotic systems, such as unpredictability [10], large bandwidth [11] and extreme sensitivity to system parameters and initial conditions [12][13][14][15]. Because a high-quality digital-image encryption scheme that combines logical mapping and chaotic systems was proposed in 1989 [16,17], many image encryption algorithms with high security have been successively designed [18][19][20].…”

Networked Chaotic Map Model and Its Applications in Color Multiple Image Encryption

“…In a word, chaotic encryption provides a new choice for traditional encryption. In recent years, many effective chaos image encryption algorithms have been proposed [13][14][15][16][17][18][19][20][21][22][23][24][25].…”