A Secure Asymmetric Optical Image Encryption Based on Phase Truncation and Singular Value Decomposition in Linear Canonical Transform Domain

Abstract

A new asymmetric optical double image encryption algorithm is proposed, which combines phase truncation and singular value decomposition. The plain text is encrypted with two-stage phase keys to obtain a uniformly distributed cipher text and two new decryption keys. These keys are generated during the encryption process and are different from encryption keys. It realizes asymmetric encryption and improves the security of the system. The unscrambling keys in the encryption operation are mainly related to plain text. At the same time, the system is more resistant to selective plain text attacks; it also improves the sensitivity of decryption keys. With the application of phase truncation, the key space expanded and the security of the cryptographic system is enhanced. The efficacy of the system is calculated by evaluating the estimated error between the input and retrieved images. The proposed technique provides innumerable security keys and is robust against various potential attacks. Numerical simulations verify the effectiveness and security of the proposed technique.

Double-Matrix Decomposition Image Steganography Scheme Based on Wavelet Transform with Multi-Region Coverage

“…The singular-value decomposition of a matrix means that for a non-zero real number matrix A of any size M × N , it can be expressed as the product of two-unit orthogonal matrices and a diagonal matrix [ 37 ]. The singular-value decomposition can be written in the following form: where S is a singular-value matrix, S = diag , the diagonal elements of S matrix are r singular values of matrix A , U and V are two orthogonal matrices, and each column element of U and V represents the left singular vector and the right singular vector, respectively—that is, , .…”

“…The singular-value decomposition of a matrix means that for a non-zero real number matrix A of any size M × N, it can be expressed as the product of two-unit orthogonal matrices and a diagonal matrix [37]. The singular-value decomposition can be written in the following form:…”

Security augmenting of optical cryptosystem based on linear canonical transform domain using a full phase encoding technique

“…According to the computed RMSE and PSNR values, the obtained image can be practically same to the original image. Table 1 presents the comparison results of the computed RMSE and PSNR values of the proposed method of PE-DRPE with Qasim et al [15], Girija et al [34], and Sangwan et al [35] in the LCT domain.…”

“…These obtained results for NPCR and UACI values demonstratet that the proposed scheme is very sensitive with respect to original image. Table 4 demonstrates the comparison results of the computed NPCR and UACI values of the proposed method with Qasim et al [15], and Sangwan et al [35] in the LCT domain.…”

Asymmetric cryptosystem with random decomposition using fractional Fourier and Fourier transforms

“…In asymmetric scheme with the knowledge of only encryption key, it is challenging to retrieve the image. Therefore, other asymmetric schemes [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] were also proposed. The issue of optical axis alignment affects the traditional DRPE method.…”