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Dynamic S-Box Construction Using Mordell Elliptic Curves over Galois Field and Its Applications in Image Encryption

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/j.1538-7305.1949.tb00928.xopenalex-snapshot
Communication Theory of Secrecy Systems*
inferredcites →https://doi.org/10.1007/3-540-48910-x_20openalex-snapshot
S-boxes with Controllable Nonlinearity
inferredcites →https://doi.org/10.1007/bf00630563openalex-snapshot
Differential cryptanalysis of DES-like cryptosystems
inferredcites →https://doi.org/10.1007/s00521-012-0870-0openalex-snapshot
A projective general linear group based algorithm for the construction of substitution box for block ciphers
inferredcites →https://doi.org/10.1007/s00521-012-0914-5openalex-snapshot
A group theoretic approach to construct cryptographically strong substitution boxes
inferredcites →https://doi.org/10.1007/s11036-023-02216-5openalex-snapshot
An Algorithm of Image Encryption based on AES & Rossler Hyperchaotic Modeling
inferredcites →https://doi.org/10.1007/s11042-017-4772-0openalex-snapshot
A novel image encryption algorithm based on LFT based S-boxes and chaos
inferredcites →https://doi.org/10.1007/s11042-023-15003-xopenalex-snapshot
On the cryptanalysis of an image encryption algorithm with quantum chaotic map and DNA coding
inferredcites →https://doi.org/10.1007/s11042-023-17969-0openalex-snapshot
Simplified Image Encryption Algorithm (SIEA) to enhance image security in cloud storage
inferredcites →https://doi.org/10.1007/s11071-012-0621-xopenalex-snapshot
A novel technique for the construction of strong S-boxes based on chaotic Lorenz systems
inferredcites →https://doi.org/10.1007/s11071-012-0646-1openalex-snapshot
An efficient approach for the construction of LFT S-boxes using chaotic logistic map
inferredcites →https://doi.org/10.1007/s11277-017-5054-xopenalex-snapshot
A Novel Algebraic Technique for the Construction of Strong Substitution Box
inferredcites →https://doi.org/10.1007/s11277-018-5698-1openalex-snapshot
A Method of Generating 8 × 8 Substitution Boxes Based on Elliptic Curves
inferredcites →https://doi.org/10.1007/s11277-020-07628-0openalex-snapshot
A Novel Application of Elliptic Curves in the Dynamical Components of Block Ciphers
inferredcites →https://doi.org/10.1007/s40314-023-02215-yopenalex-snapshot
A novel algebraic construction of strong S-boxes over double GF(27) structures and image protection
inferredcites →https://doi.org/10.1016/j.chaos.2013.11.001openalex-snapshot
A novel method of S-box design based on chaotic map and composition method
inferredcites →https://doi.org/10.1016/j.eswa.2023.121514openalex-snapshot
Cryptanalysis of an image encryption algorithm using quantum chaotic map and DNA coding
inferredcites →https://doi.org/10.1016/j.heliyon.2023.e23652openalex-snapshot
A medical image encryption scheme based on Mobius transformation and Galois field
inferredcites →https://doi.org/10.1016/j.sigpro.2018.10.011openalex-snapshot
A novel image encryption scheme based on an elliptic curve
inferredcites →https://doi.org/10.1023/a:1008354106356openalex-snapshot
The State of Elliptic Curve Cryptography
inferredcites →https://doi.org/10.1049/ip-e.1988.0044openalex-snapshot
Towards effective nonlinear cryptosystem design
inferredcites →https://doi.org/10.1080/1023697x.2012.10669006openalex-snapshot
An Improved Method to Obtaining S-Box Based on Chaos and Genetic Algorithm
inferredcites →https://doi.org/10.1109/access.2018.2871557openalex-snapshot
A New 1D Chaotic Map and $\beta$ -Hill Climbing for Generating Substitution-Boxes
inferredcites →https://doi.org/10.1109/access.2020.2970806openalex-snapshot
An Efficient Image Encryption Scheme Based on the LSS Chaotic Map and Single S-Box
inferredcites →https://doi.org/10.1109/access.2021.3083151openalex-snapshot
A Novel Scheme of Image Encryption Based on Elliptic Curves Isomorphism and Substitution Boxes
inferredcites →https://doi.org/10.1109/access.2023.3242311openalex-snapshot
Color Image Encryption Through Chaos and KAA Map
inferredcites →https://doi.org/10.1109/access.2023.3337443openalex-snapshot
A Robust S Box Design Using Cyclic Groups and Image Encryption
inferredcites →https://doi.org/10.1109/ncc.2013.6488031openalex-snapshot
Energy efficient elliptic curve point multiplication for WSN applications
inferredcites →https://doi.org/10.1109/tcyb.2018.2846186openalex-snapshot
Design of Highly Nonlinear Substitution Boxes Based on I-Ching Operators
inferredcites →https://doi.org/10.1145/168588.168610openalex-snapshot
Systematic generation of cryptographically robust S-boxes
inferredcites →https://doi.org/10.1155/2017/5101934openalex-snapshot
A Novel Construction of Substitution Box Involving Coset Diagram and a Bijective Map
inferredcites →https://doi.org/10.1155/2017/6969312openalex-snapshot
Chaotic S‐Box: Intertwining Logistic Map and Bacterial Foraging Optimization
inferredcites →https://doi.org/10.1155/2018/4987021openalex-snapshot
A Novel Technique for the Construction of Safe Substitution Boxes Based on Cyclic and Symmetric Groups
inferredcites →https://doi.org/10.1155/2018/5823230openalex-snapshot
To Study the Effect of the Generating Polynomial on the Quality of Nonlinear Components in Block Ciphers
inferredcites →https://doi.org/10.1155/2019/2847801openalex-snapshot
Construction of New S-Box Using Action of Quotient of the Modular Group for Multimedia Security
inferredcites →https://doi.org/10.1155/2021/3367521openalex-snapshot
Designing an Efficient and Highly Dynamic Substitution-Box Generator for Block Ciphers Based on Finite Elliptic Curves
inferredcites →https://doi.org/10.1371/journal.pone.0241890openalex-snapshot
A highly nonlinear substitution-box (S-box) design using action of modular group on a projective line over a finite field
inferredcites →https://doi.org/10.32604/cmc.2022.022224openalex-snapshot
Design of Nonlinear Components Over a Mordell Elliptic Curve on Galois Fields
inferredcites →https://doi.org/10.3390/cryptography3010006openalex-snapshot
A Novel Algorithm of Constructing Highly Nonlinear S-p-boxes
inferredcites →https://doi.org/10.3390/e20120913openalex-snapshot
A New Efficient Digital Image Encryption Based on Inverse Left Almost Semi Group and Lorenz Chaotic System
inferredcites →https://doi.org/10.3390/e21030245openalex-snapshot
A Novel Construction of Efficient Substitution-Boxes Using Cubic Fractional Transformation
inferredcites →https://doi.org/10.3390/fractalfract7120887openalex-snapshot
Exploiting Newly Designed Fractional-Order 3D Lorenz Chaotic System and 2D Discrete Polynomial Hyper-Chaotic Map for High-Performance Multi-Image Encryption
inferredcites →https://doi.org/10.3390/sym12050826openalex-snapshot
S-box Construction Based on Linear Fractional Transformation and Permutation Function
inferredcites →https://doi.org/10.4218/etrij.2019-0138openalex-snapshot
Highly dispersive substitution box (S‐box) design using chaos
inferredcites →https://doi.org/10.55463/issn.1674-2974.50.7.5openalex-snapshot
Construction of an S-Box Using Suppersingular Elliptic Curve over Finite Field

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4758295openalex-extracted
A Novel S-Box Generation Method Based on Metastable Inducing Over Fpga for Block
inferred← citeshttps://doi.org/10.1002/spy2.70068openalex-snapshot
An Efficient S‐Box Generation With Mutation Optimization for Secure Image Encryption
inferred← citeshttps://doi.org/10.1002/spy2.70168openalex-snapshot
Efficient and Secure Montgomery Curve Based Substitution Box Generator With Optimal Nonlinearity
inferred← citeshttps://doi.org/10.1002/spy2.70247openalex-snapshot
A Biometric‐Algebraic Block Cipher Framework Using Fingerprint Minutiae, Ridge Orientation Fields, and GL(8,GF(2)) Transformations for Dynamic S‐Box Generation
inferred← citeshttps://doi.org/10.1007/s11042-024-20575-3openalex-snapshot
Extended fractional transformation based S-box and applications in medical image encryption
inferred← citeshttps://doi.org/10.1007/s11042-026-21663-2openalex-snapshot
An innovative image encryption scheme combining Vigenere-Affine and elliptic curve over a finite body
inferred← citeshttps://doi.org/10.1007/s11071-024-10003-4openalex-snapshot
A novel S-box generator using Frobenius automorphism and its applications in image encryption
inferred← citeshttps://doi.org/10.1007/s40314-025-03513-3openalex-snapshot
Design and analysis of high-performance s-boxes based on improved MM construction method
inferred← citeshttps://doi.org/10.1016/j.aej.2025.03.109openalex-snapshot
Secure S-box construction with 1D chaotic maps and finite field theory for block cipher encryption
inferred← citeshttps://doi.org/10.1016/j.aej.2026.02.028openalex-snapshot
Elliptic-Möbius S-boxes: A hybrid algebraic construction for cryptographic applications
inferred← citeshttps://doi.org/10.1016/j.asej.2025.103559openalex-snapshot
Degree, closeness and eigenvector for the construction of cryptographically secure S-boxes
inferred← citeshttps://doi.org/10.1016/j.chaos.2026.118733openalex-snapshot
Design and evaluation of a novel chaotic logistic-tent-sine map for S-box construction in image encryption
inferred← citeshttps://doi.org/10.1016/j.ijleo.2026.172881openalex-snapshot
A cuboid-based multiple image encryption scheme for secure transmission using 4D hyperchaotic Chen dynamic S-Box
inferred← citeshttps://doi.org/10.1016/j.jisa.2026.104436openalex-snapshot
EIP: Efficient image protection scheme
inferred← citeshttps://doi.org/10.1016/j.jksuci.2024.102159openalex-snapshot
Parametrization of generalized triangle groups and construction of substitution-box for medical image encryption
inferred← citeshttps://doi.org/10.1016/j.knosys.2025.112968openalex-snapshot
A novel s-box generation method based on metastable inducing over FPGA for block ciphers
inferred← citeshttps://doi.org/10.1016/j.knosys.2025.113977openalex-snapshot
A novel bijective substitution box design based on nomadic people optimizer and discrete chaotic map
inferred← citeshttps://doi.org/10.1038/s41598-025-02102-yopenalex-snapshot
Secure medical image encryption with hyperelliptic curve based S-boxes
inferred← citeshttps://doi.org/10.1038/s41598-025-34378-5openalex-snapshot
Image encryption with 6D hyperchaotic system and vision transformer autoencoder
inferred← citeshttps://doi.org/10.1038/s41598-026-37082-0openalex-snapshot
Parametric action of homomorphic image of modular group and it’s application in image encryption
inferred← citeshttps://doi.org/10.1063/5.0259007openalex-snapshot
The optimization problems for public key cryptosystem
inferred← citeshttps://doi.org/10.1088/1402-4896/ad8a9copenalex-snapshot
The implementation of algebraic complex lookup tables over non-chain Galois ring extensions and Henon map in multimedia security
inferred← citeshttps://doi.org/10.1142/s0218127425500968openalex-snapshot
Constructing Keyed Strong S-Boxes with High Nonlinearity Based on a 2D-Hyperchaotic Map and Elliptic Curve
inferred← citeshttps://doi.org/10.1155/jom/9977279openalex-snapshot
Classification of H‐Circuits Having Different Length and Reduced Length of M‐Circuits on Quadratic Irrational Numbers
inferred← citeshttps://doi.org/10.1371/journal.pone.0320457openalex-snapshot
Where octagonal geometry meets chaos: A new S-Box for advanced cryptographic systems
inferred← citeshttps://doi.org/10.1371/journal.pone.0329024openalex-snapshot
Unveiling a novel S-Box strategy: The dynamic 3D scrambling approach
inferred← citeshttps://doi.org/10.21203/rs.3.rs-4368992/v1openalex-snapshot
An S-box multi-objective optimization algorithm based on composite chaos and rolling Boolean
inferred← citeshttps://doi.org/10.3390/cryptography9040067openalex-snapshot
Constructing 8 × 8 S-Boxes with Optimal Boolean Function Nonlinearity
inferred← citeshttps://doi.org/10.3390/math12182906openalex-snapshot
An Attribute-Based End-to-End Policy-Controlled Signcryption Scheme for Secure Group Chat Communication
inferred← citeshttps://doi.org/10.3390/sym16060664openalex-snapshot
A Ciphertext Reduction Scheme for Garbling an S-Box in an AES Circuit with Minimal Online Time
inferred← citeshttps://doi.org/10.3934/math.20241714openalex-snapshot
Cryptanalysis of hyperchaotic S-box generation and image encryption
inferred← citeshttps://doi.org/10.3934/math.2025262openalex-snapshot
Batch generated strongly nonlinear S-Boxes using enhanced quadratic maps
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