Optical color image encryption with redefined fractional Hartley transform

Li, Xinxin; Zhao, Daomu

doi:10.1016/j.ijleo.2008.10.008

Cited by 41 publications

(5 citation statements)

References 23 publications

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“…Zhao et al [15] proposed fractional Hartley transform mathematically and explored its optical setup. Li, and Zhao proposed a redefined fractional Hartley transform [17]. Recently, various encryption algorithms based on fractional Hartley transform have been proposed.…”

Section: Introductionmentioning

confidence: 99%

Watermarking algorithm based on phase-only CGH in fractional Hartley domain for DICOM images

Yadav,

Sachin,

Singh

2024

J. Opt.

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In this manuscript, we proposed a watermarking algorithm based on phase-only computer-generated holography (CGH) in the fractional Hartley domain for digital imaging and communications in medicine (DICOM) images. The proposed algorithm improves the security of the CGH-based algorithm. The cascaded use of fractional Hartley transform and attenuation factor β increases the keyspace of the proposed watermarking algorithm. The robustness and effectiveness of the proposed watermarking algorithm is validated using simulations on DICOM images. The effectiveness of the proposed watermarking algorithm is assessed using statistical tools in terms of mean-squared error, information entropy, correlation coefficient, histogram, and mesh plots. The robustness is evaluated by testing the proposed algorithm’s performance under real-time threats, including contamination and data loss attacks. Furthermore, the security of the proposed algorithm is also tested for existing cryptographic attacks, such as chosen-plaintext attacks, and known-plaintext attacks. The simulation results indicate that the proposed watermarking algorithm is robust and effective.

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Section: Introductionmentioning

confidence: 99%

Watermarking algorithm based on phase-only CGH in fractional Hartley domain for DICOM images

Yadav,

Sachin,

Singh

2024

J. Opt.

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“…A chaotic map-based image encryption algorithm was originally suggested in 1989 [12]. Lately, there has been an expanding activity in this field as a few methods were presented within the research art [13][14][15][16][17]. The chaotic map-based public cryptosystems require least computational complexity in comparison with that is needed by public cryptosystems that rely on modular exponential computing, or scalar multiplication on elliptic curves.…”

Section: Introductionmentioning

confidence: 99%

Development of a New Chaotic Maps Cryptosystem with Quadratic Residue Problem

Tahat¹,

Shaqbou'a²,

Abu-Dalu³

et al. 2022

Int. J. Onl. Eng.

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A new fast public key cryptosystem is proposed, which is based on two dissimilar number-theoretic hard problems, namely the simultaneous chaotic maps (CM) problem and quadratic residue (QR) problem. The adversary has to solve the two hard problems simultaneously to recover the plaintext according to their knowledge about the public keys and the cipher-text. Cryptographic quadratic residue and chaotic system are employed to enhance the security of our cryptosystem scheme. The encryption, and decryption are discussed in details. Several security attacks are proposed to illustrate the system shield through chaotic maps and quadratic residue problems. The performance analysis of the proposed scheme show a much improved performance over existing techniques.

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“…A recently developed method for image encryption is established based on two-dimensional generalization of one-dimensional fractional Hartley transform [6]. It is seen that, fractional Hartley transform has many applications in the field of phase image encryption [15], nonlinear optical double image encryption [14], and optical image encryption [6,7,18]. In many applications of engineering and science the concept of fractional operator and measure have been investigated comprehensively.…”

Section: Introductionmentioning

confidence: 99%

Some Properties of Fractional Hartley Transform

Nikam¹,

Reddy²,

Gaikwad³

2022

SEAJMMS

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This paper is motivated by the ideas of fractional Fourier transform and Hartley transform. Looking towards the practicality and demanding attention of fractional Hartley transform we take keen interest into it. In this paper, we deal with inverse theorem of FRHT and some important properties of fractional Hartley transform like exponential rule, multiplication rule, transform of derivative and derivative of transform, which play a very crucial role in the development of fractional Hartley transform.

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Optical color image encryption with redefined fractional Hartley transform

Cited by 41 publications

References 23 publications

Watermarking algorithm based on phase-only CGH in fractional Hartley domain for DICOM images

Watermarking algorithm based on phase-only CGH in fractional Hartley domain for DICOM images

Development of a New Chaotic Maps Cryptosystem with Quadratic Residue Problem

Some Properties of Fractional Hartley Transform

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