A novel image encryption method based on fractional discrete Meixner moments

ogri, O. El; Karmouni, Hicham; Sayyouri, Mhamed; Qjidaa, Hassan

doi:10.1016/j.optlaseng.2020.106346

Cited by 34 publications

(14 citation statements)

References 41 publications

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“…In image encryption, a higher information entropy indicates a more uniform distribution of pixel values in an image, and the more difficult it is for an attacker to crack it. An effective encryption scheme (El ogri, Karmouni, et al 2021) has an entropy value close to 8, and a poor encryption process has an entropy value close to 0. Ciphertext images with entropy values close to 8 indicate better performance of the encryption algorithm.…”

Section: Entropy Analysismentioning

confidence: 99%

“…Liu et al designed an encryption technology in gyrator transform domains (Chen, Zhu, et al 2015). In addition, some optical image encryption methods (Liu, Guo, et al 2015;Liu, Chen, et al 2018;Gong, Wang et al 2019;Liansheng, Xiao, et al 2019;El ogri, Karmouni, et al 2021;Su, Xu, et al 2021;Sui, Pang, et al 2021;Wang, Wang, et al 2021;Duan, Zhou, et al 2022) based on eFrFT, jigsaw transform, digital holography, computational holography, phase recovery algorithms, ghost imaging, diffraction imaging, and interference have been proposed. Here optical transforms and methods for generating random data are combined to design encryption methods.…”

Section: Introductionmentioning

confidence: 99%

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High-security image encryption by multiplexing phase encoding in domains of dual optical transforms

Gao

Pan

et al. 2022

Preprint

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A novel optical image encryption is proposed based on multiplexing of the random phase encoding after shift and rotation operations in domains of extended fractional Fourier transform (eFrFT) and Fresnel transform. The original image is subjected to eFrFT with the action of the random phase mask. The mask is shifted and rotated. The image obtained from the fractional Fourier transform is entered into Fresnel diffraction by the use of the phase mask to obtain the final encrypted image. We design that the multiplexing operation of the phase keys can reduce the storage volume of the keys. Here, the displacement amount, rotation angle and wavelength in this system can be used as additional keys to improve the security and reliability of the encryption system. Numerical experiments are conducted to verify the effectiveness and security of the algorithm. The results show that the keys are very sensitive enough for high security.

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Section: Entropy Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

High-security image encryption by multiplexing phase encoding in domains of dual optical transforms

Gao

Pan

et al. 2022

Preprint

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“…Some mathematical operations are applied on the secret key to choose it as the initial conditions of the Logistic maps. [14] proposed an image encryption and decryption scheme based on jigsaw transform and fractional discrete Meixner moments. The bit planes are extracted from the plain image.…”

Section: Introductionmentioning

confidence: 99%

“…The shortcoming in [14] scheme is jigsaw transform which is a weak against the different attacks. Moreover, other methods depending on simple logistic map such as [15] and [18] cannot assure high-security level.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, image moment is the projection of image function onto a polynomial basis. If these polynomials are discrete and orthogonal, then we have discrete orthogonal moments such as Krawtchouk [5,11], Hahn [12], Chariler [13], and Mexiner [14]. These polynomials have ability in representing images with minimal information redundancy and high robustness against noises.…”

Section: Introductionmentioning

confidence: 99%

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Image encryption via a 2-D Logistic-Baker map and fractional discrete Meixner moments

Karawia

Fouda

2022

Preprint

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In this paper, we introduce an efficient and robust image encryption anddecryption scheme based on 2-D chaotic map and 2-D fractional discreteorthogonal moments. In the confusion stage, the compound LogisticBaker map is used to enhance the complexity and generate pseudorandom sequences. In order to resist a variety of attacks and increasesecurity, Fractional Discrete Meixner Moments (FrDMMs) are used in thediffusion stage. FrDMMs had been computed using the eigenvalues andthe corresponding multiplicity of the discrete Meixner polynomials. Thesecret key is created by combining the Logistic-Baker map and FrDMMs.The experimental results and the security analysis demonstrate that theproposed algorithm is robust against existing security attacks and hasa large key space, high key sensitivity, and a strong encryption effect.

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