Non-linear Cryptosystem for Image Encryption Using Radial Hilbert Mask in Fractional Fourier Transform Domain

Maan, Priyanka; Singh, Hukum

doi:10.1007/s13319-018-0205-8

Cited by 23 publications

(15 citation statements)

References 46 publications

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“…Few portions of ciphered images are occluded in Fig. (11), and examinations are done on decrypted ones. 10% occluded ciphered images are shown in Fig.…”

Section: Occlusion Attack Analysismentioning

confidence: 99%

“…The decryption is back tracing the optical path, using either conjugate of encrypted image or conjugate of the RPMs. Further, DRPE based encoding method is prolonged from Fourier transform (FT) to many other domains like fractional Fourier transform (FrFT) [7][8][9][10][11][12], Fresnel transform (FrT) [13,14], Fresnel wavelet transform (FWT) [15], fractional Mellin transform (FrMT) [16][17][18][19], gyrator transform (GT) [20][21][22][23][24][25], gyrator wavelet transform (GWT) [26,27]. In all these techniques indistinguishable RPMs act as keys in the decryption process.…”

Section: Introductionmentioning

confidence: 99%

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Security-enrichment of an asymmetric optical image encryption-based devil’s vortex Fresnel lens phase mask and lower upper decomposition with partial pivoting in gyrator transform domain

Anshula

Singh

2021

Opt Quant Electron

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An asymmetric optical cryptosystem to encrypt images using devil's vortex Fresnel lens (DVFLs) phase masks and lower upper decomposition with partial pivoting (LUDPP) is proposed in gyrator transform domain. The proposed cryptosystem utilizes DVFLs which are the complex phase masks designed using the combination of a phases of devil's lens (DL), vortex lens(VL), and Fresnel lens (FL). LUDPP is an operation used to decompose the matrix and is utilized to supersede the phasetruncation (PT) task in the traditional phase-truncated Fourier transform (PTFT). Hence, the proposed method is immune to the attacks to which the PTFT-based cryptosystems are vulnerable. The cryptosystem is asymmetric as both the encryption and decryption processes are different along with different keys. The private keys generated during the encryption process are utilised in the decryption process to retrieve the original image. The encryption and decryption process can be realised with both the digital and the modified optical architecture. In order to show the strength and robustness of the proposed encryption, a conspire numerical simulation was performed.

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“…Few portions of ciphered images are occluded in Fig. (11), and examinations are done on decrypted ones. 10% occluded ciphered images are shown in Fig.…”

Section: Occlusion Attack Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Security-enrichment of an asymmetric optical image encryption-based devil’s vortex Fresnel lens phase mask and lower upper decomposition with partial pivoting in gyrator transform domain

Anshula

Singh

2021

Opt Quant Electron

Self Cite

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“…Figure 9 shows the CPA analysis of DRPE system. The proposed system has been checked with sensitivity analysis [52][53][54][55] . It means, how much the system is sensitive even there is a small difference.…”

Section: 2noise Attack Analysismentioning

confidence: 99%

Cryptanalysis of DRPE Using Complex S-Box Based on Linear Canonical Transform

Girija

Singh

Abirami

2021

Preprint

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During recent decades, double random phase encoding grasped more attention for researchers. To achieve nonlinearity, it had been done with random S-Box. We exhibit this involvement that DRPE system is much vulnerable in the above methodology. Concatenating anything with DRPE needs an imaginary value, wherein s-box unsuccessful in it. Used S-box has been reformed into various sizes. Due to this scenario, S-box values are replicating. So, complex S-box has been employed and proposed size of the s-box is similar to an input image. Numerical simulations have been performed out to validate the practicability and trustworthiness of traditional DRPE system with complex S-box.

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“…Haar wavelet transform de-correlates the image pixels by decomposing into averaging and differencing components [32].The Hilbert transform exhibits edge enhancing properties and hence finds its use in processing of images and phase observation [33]. Radial Hilbert transform can increases the strength with expanded key space [34].…”

Section: Literature Surveymentioning

confidence: 99%

Nature Inspired and Transform Based Image Encryption Techniques: A Comparative Study

R¹,

Bhat²,

Patil³

2020

Adv. sci. technol. eng. syst. j.

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In this paper, performances of two variations of chaos based algorithms are compared. First algorithm is a self-adaptive color image encryption algorithm is proposed based on Radial Hilbert Transform and chaos. This technique uses chaotic random phase masks operated on the transformed pixels to increase the randomness in confusion and diffusion operations. Also, a random jumbling process is used at the final stage to increase the randomness in the cipher image. Part of the plain image is used to generate the keys for encrypting another part. Second algorithm is inspired by the bio operations resembling confusion and diffusion. Use of a scrambler improves the performance of this algorithm. Proposed work elaborates the results of the suitability analysis conducted on various kinds of input images, namely, satellite images, face images and handwritten signature images. Performance parameters considered for the analysis include horizontal correlation, vertical correlation, diagonal correlation, and net changing pixel rate, unified average change in intensity, entropy and encryption time taken by the encryption techniques.

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Non-linear Cryptosystem for Image Encryption Using Radial Hilbert Mask in Fractional Fourier Transform Domain

Cited by 23 publications

References 46 publications

Security-enrichment of an asymmetric optical image encryption-based devil’s vortex Fresnel lens phase mask and lower upper decomposition with partial pivoting in gyrator transform domain

Security-enrichment of an asymmetric optical image encryption-based devil’s vortex Fresnel lens phase mask and lower upper decomposition with partial pivoting in gyrator transform domain

Cryptanalysis of DRPE Using Complex S-Box Based on Linear Canonical Transform

Nature Inspired and Transform Based Image Encryption Techniques: A Comparative Study

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