ArticleEntropy (Basel, Switzerland)2022
A Novel Image Encryption Scheme Based on Elliptic Curves over Finite Rings.
Article in Entropy (Basel, Switzerland), 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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9 citing papers in PubMed.
- A Novel 2D Hyperchaotic Map for Secure Financial Data Encryption.Entropy (Basel, Switzerland) · 2026Article
- An optimized substitution box generator based on cubic pell curves and its application in image encryption.Scientific reports · 2026Article
- Conic curve encryption and digital signature based on complex number theory for cybersecurity applications.Scientific reports · 2025Article
- Blockchain driven medical image encryption employing chaotic tent map in cloud computing.Scientific reports · 2025Article
- Joint Encryption Model Based on a Randomized Autoencoder Neural Network and Coupled Chaos Mapping.Entropy (Basel, Switzerland) · 2023Article
- Secure communication through reliable S-box design: A proposed approach using coset graphs and matrix operations.Heliyon · 2023Article
- A survey of image encryption for healthcare applications.Evolutionary intelligence · 2023Article
- A generalized framework for elliptic curves based PRNG and its utilization in image encryption.Scientific reports · 2022Article
- A strong construction of S-box using Mandelbrot set an image encryption scheme.PeerJ. Computer science · 2022Article
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Image encryption based on elliptic curves (ECs) is emerging as a new trend in cryptography because it provides high security with a relatively smaller key size when compared with well-known cryptosystems. Recently, it has been shown that the cryptosystems based on ECs over finite rings may provide better security because they require the computational cost for solving the factorization problem and the discrete logarithm problem. Motivated by this fact, we proposed a novel image encryption scheme based on ECs over finite rings. There are three main steps in our scheme, where, in the first step, we mask the plain image using points of an EC over a finite ring. In step two, we create diffusion in the masked image with a mapping from the EC over the finite ring to the EC over the finite field. To create high confusion in the plain text, we generated a substitution box (S-box) based on the ordered EC, which is then used to permute the pixels of the diffused image to obtain a cipher image. With computational experiments, we showed that the proposed cryptosystem has higher security against linear, differential, and statistical attacks than the existing cryptosystems. Furthermore, the average encryption time for color images is lower than other existing schemes.
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