Asymmetric cryptosystem using coherent superposition and equal modulus decomposition of fractional Fourier spectrum

Barfungpa, Sonam Palden; Abuturab, Muhammad Rafiq

doi:10.1007/s11082-016-0786-5

Cited by 23 publications

(4 citation statements)

References 28 publications

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“…However, the relationship between the ciphertext and private key leads the PTFT-based encryption algorithm to be vulnerable to special iterative attacks [58]. To improve the security of this method, hybrid opto-digital optical cryptosystems have been developed based on mathematical decompositions, such as equal modulus decomposition, random modulus decomposition, unequal modulus decomposition, polar decomposition, QZ decomposition, elliptic curves and many other operators [59][60][61][62][63][64][65][66][67]. This integration of mathematical decomposition with optical techniques is very effective in designing the sophisticated optical cryptosystems which are robust to various attacks.…”

Section: Asymmetric Encryption Algorithmmentioning

confidence: 99%

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Advances in Optical Visual Information Security: A Comprehensive Review

Sachin,

Kumar,

Sakshi

et al. 2024

Photonics

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In the modern era, the secure transmission and storage of information are among the utmost priorities. Optical security protocols have demonstrated significant advantages over digital counterparts, i.e., a high speed, a complex degree of freedom, physical parameters as keys (i.e., phase, wavelength, polarization, quantum properties of photons, multiplexing, etc.) and multi-dimension processing capabilities. This paper provides a comprehensive overview of optical cryptosystems developed over the years. We have also analyzed the trend in the growth of optical image encryption methods since their inception in 1995 based on the data collected from various literature libraries such as Google Scholar, IEEE Library and Science Direct Database. The security algorithms developed in the literature are focused on two major aspects, i.e., symmetric and asymmetric cryptosystems. A summary of state-of-the-art works is described based on these two aspects. Current challenges and future perspectives of the field are also discussed.

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Section: Asymmetric Encryption Algorithmmentioning

confidence: 99%

“…The two decryption keys that are dependent on the plaintext and are different from the public keys are generated using the phase truncation approach. PTFT is further extended in other transform domains as well [60]. The complete PTFT operation can be performed as follows:…”

Section: Phase Truncation and Phase Reservation In Fourier Transformmentioning

confidence: 99%

Advances in Optical Visual Information Security: A Comprehensive Review

Sachin,

Kumar,

Sakshi

et al. 2024

Photonics

View full text Add to dashboard Cite

show abstract

“…To verify the sensitivity of the proposed approach to diffraction distances and the illuminating wavelength, the correlation coefficient (CC) [29] was used to calculate the difference between the original and the decrypted images: where I i and I o are the original image and the decrypted image, respectively. The relationships between the value of CC and the diffraction distance (d 1 or d 2 ) are shown in Figs.…”

Section: Numerical Simulation and Analysismentioning

confidence: 99%

Asymmetric Optical Image Encryption With Silhouette Removal Using Interference and Equal Modulus Decomposition

Luan

Chen

et al. 2020

IEEE Photonics J.

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We propose an asymmetric optical image encryption scheme with silhouette removal by using interference and equal modulus decomposition (EMD). Plaintext is first separated into two complex value masks with the same modulus using EMD in the Fresnel transform domain. The two masks are encoded into four phase-only masks (POMs), two of which are treated as ciphertexts and other two as plaintext-dependent private keys by using the inverse Fresnel transform with different diffraction distances and interference-based encryption. Any information about the plaintext, including its silhouette, cannot be retrieved using one, two, or even three of the four POMs. Our scheme also avoids the constraint of the same modulus in EMD and eliminates the vulnerability against the iterative amplitude-phase attack and advanced iterative amplitude-phase attack. Numerical simulations were used to verify the validity and security of our proposed method.

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“…However, Deng (Deng, 2015) investigated and proved the vulnerability of EMD based schemes to special attacks and its variants. In order to enhance the security of cryptosystems based on EMD, many schemes were later proposed (Fatima, Mehra and Nishchal, 2016;Barfungpa and Abuturab, 2016;Chen et al, 2017). Wang et al (Wang, Quan and Tay, 2016) proposed an alternative scheme to EMD cryptosystem popularly known as random decomposition where two random masks of different moduli were produced, it was done to limit the available constraint conditions for executing iterative transform based attacks.…”

Section: Introductionmentioning

confidence: 99%

An asymmetric hybrid watermarking mechanism using hyperchaotic system and random decomposition in 2D Non-separable linear canonical domain

Rakheja

Vig²,

Singh³

2019

PINSA

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In this paper, an asymmetric hybrid watermarking scheme utilizing four-dimensional (4D) hyperchaotic system with coherent superposition and random decomposition in 2D non-separable linear canonical domain is proposed. The 4D hyperchaotic framework is used for creating permutation keystream for a pixel-swapping mechanism. Its parameters and initial conditions along with the independent parameters of the 2D Non separable linear canonical transform extend the keyspace and consequently strengthen the proposed watermarking scheme. The designed watermarking scheme has an extended key-space to avoid any brute-force attack and is non-linear in nature. The scheme is validated on grayscale images. Computer based simulations have been performed to validate the robustness of the proposed watermarking scheme against different types of attacks. Results demonstrate that the proposed scheme not only offers higher protection against brute force and occlusion attacks but is also invulnerable to special attack.

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Asymmetric cryptosystem using coherent superposition and equal modulus decomposition of fractional Fourier spectrum

Cited by 23 publications

References 28 publications

Advances in Optical Visual Information Security: A Comprehensive Review

Advances in Optical Visual Information Security: A Comprehensive Review

Asymmetric Optical Image Encryption With Silhouette Removal Using Interference and Equal Modulus Decomposition

An asymmetric hybrid watermarking mechanism using hyperchaotic system and random decomposition in 2D Non-separable linear canonical domain

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