Color Image Encryption: A New Public Key Cryptosystem Based on Polynomial Equation

Kavitha, P; Saraswathi, P. Vidhya

doi:10.1007/978-3-030-00665-5_8

Cited by 2 publications

(2 citation statements)

References 4 publications

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“…where N is the total number of image pixels, x and y are values of adjacent pixels of the plain image and encrypted image respectively, E(x) and E(y) are their average values [16]. The results c xy of three directions: horizontal, vertical, and diagonal of the proposed encryption algorithm on an implemented image are presented in Table 2.…”

Section: Correlation Analysismentioning

confidence: 99%

A Novel Image Encryption Algorithm Involving A Logistic Map and A Self-Invertible Matrix

Al-Saffar,,

Alkhayyat,,

Obaid,

2024

MJMS

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To prevent sensitive images shared on social media from being stolen, researchers are seeking to find and innovate image encryption algorithms. Since attackers attempt to exploit it to access encrypted images, the problem of generating keys as the first stage of any encryption algorithm is regarded as a critical problem. This issue was dealt with in this paper through the use of the logistic map. This map must be calculated using specific conditions and special parameters to maintain its chaos. The Diffie-Hellman key exchange algorithm was modified to address this problem since the shared keys now consist of a 16-element vector. The first two elements will be used for a logistic map. The entire vector was used to create a self-invertible matrix. The encryption level entails two operations: the first is matrix multiplication with a vector, and the second is a bitwise XOR operation between two matrices. A proposed encryption algorithm is capable of producing encrypted images that are challenging to decrypt through the use of stringent security tests. The outcomes of each test show how well the proposed encryption algorithm performs compared with other algorithms and how to resist the attacks.

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Section: Correlation Analysismentioning

confidence: 99%

A Novel Image Encryption Algorithm Involving A Logistic Map and A Self-Invertible Matrix

Al-Saffar,,

Alkhayyat,,

Obaid,

2024

MJMS

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“…The Bisection method was used to generate a random sequence for image encryption [14]; however, the exploit of the XOR operation made it insecure [15]. Similarly, much research has been done in image encryption utilising polynomials [16][17][18].The encryption cryptosystems are widely categorised as modern and classic systems. In modern systems, confusion and diffusion are done in parallel, whilst in the latter; confusion and diffusion are done separately.…”

Section: Introductionmentioning

confidence: 99%

A Cryptographic Algorithm using Polynomial Interpolations for Mitigating Key-Size Based Attacks

Kaur

K.R.

2022

Preprint

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Confidentiality is one of the fundamental aspects to consider while securing wireless communication. Endeavouring current developments will catch up with the conventional cryptographic methods soon than expected; therefore, a new path is indispensable. In this context, this article presents an innovative idea of using polynomials to achieve a higher level of data privacy. Polynomials' strength lies in their irreducible property, which makes them plausibly appropriate for cryptography. Thenceforth, two novel schemes are proposed based on root-finding polynomial interpolations such as Bisection, Newton-Raphson, and Secant. Relying on these techniques, while the first scheme performs substitution, the BI-New scheme performs substitution, rotation, replacement, and substitution. Hence, both schemes provide confusion and diffusion, a fundamental security aspect. Besides, these algorithms utilise initial points to extract the exact root of the polynomial p1(y) =0. On the basis thereof, an algorithm is developed to retrieve the initial data points. Consequently, the decryption is accomplished in reverse order by evaluating a function. The proposed scheme has unique characteristics, including non-linear interpolating polynomials, roots of non-linear algebraic equations, and non-linear functions. Due to the amalgamation of various non-linear methods and randomised variables, the methods are one-way functions that can endure several assaults. Lastly, the algorithm's security is illustrated by multiple state-of-the-art quantitative metrics such as time complexity, accuracy, memory usage, key space analysis, key sensitivity analysis, robustness analysis, and statistical analysis.

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Color Image Encryption: A New Public Key Cryptosystem Based on Polynomial Equation

Cited by 2 publications

References 4 publications

A Novel Image Encryption Algorithm Involving A Logistic Map and A Self-Invertible Matrix

A Novel Image Encryption Algorithm Involving A Logistic Map and A Self-Invertible Matrix

A Cryptographic Algorithm using Polynomial Interpolations for Mitigating Key-Size Based Attacks

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