Results 61 to 70 of about 6,665 (199)

Polynomial Representations of Weak Inverse Property Quasigroups and Their Role in Cryptographic Primitives

Journal of Mathematics, Volume 2026, Issue 1, 2026.
A connection between cryptography and polynomial functions is extremely significant. Mathematical performance of polynomials helps to enhance the cryptographic primitives, which are trustworthy as well as straightforward representation tools, in everyday use. In this research, explicit topological sequences Qf which correspond to degree‐based, distance‐
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Nwazish Ali, Abdu Qaid Alameri, Bin Pang   +5 more
wiley   +1 more source

A Method of Ultra-Large-Scale Matrix Inversion Using Block Recursion

Information, 2020
Ultra-large-scale matrix inversion has been applied as the fundamental operation of numerous domains, owing to the growth of big data and matrix applications.
HouZhen Wang, Yan Guo, HuanGuo Zhang
doaj   +1 more source

Hardware Design for Secure Telemedicine Using A Novel Framework, A New 4D Memristive Chaotic Oscillator, and Dispatched Gray Code Scrambler

Engineering Reports, Volume 7, Issue 10, October 2025.
This work presents a secure telemedicine cryptosystem based on a novel 4D memristive chaotic oscillator and a Dispatched Gray Code Scrambler (DGCS). Implemented on FPGA, the system ensures power‐efficient encryption, making it suitable for real‐time medical image transmission in IoT healthcare environments.
Fritz Nguemo Kemdoum, Serge Raoul Dzonde Naoussi, Gideon Pagnol Ayemtsa Kuete, Justin Roger Mboupda Pone   +3 more
wiley   +1 more source

Multiset-Algebraic Cryptanalysis of Reduced Kuznyechik, Khazad, and secret SPNs

IACR Transactions on Symmetric Cryptology, 2017
We devise the first closed formula for the number of rounds of a blockcipher with secret components so that these components can be revealed using multiset, algebraic-degree, or division-integral properties, which in this case are equivalent.
Alex Biryukov, Dmitry Khovratovich, Léo Perrin   +2 more
doaj   +1 more source

Group theory in cryptography [PDF]

, 2010
This paper is a guide for the pure mathematician who would like to know more about cryptography based on group theory. The paper gives a brief overview of the subject, and provides pointers to good textbooks, key research papers and recent survey papers ...
Blackburn, Simon R., Cid, Carlos, Mullan, Ciaran   +2 more
core  

Variations of the McEliece Cryptosystem

, 2017
Two variations of the McEliece cryptosystem are presented. The first one is based on a relaxation of the column permutation in the classical McEliece scrambling process.
Alain Couvreur, Anne Canteaut, Ayoub Otmani, Behzad Amiri, Frank R. Kschischang, H. Niederreiter, Heeralal Janwa, John Little, Judea Pearl, Lily Chen, Marco Baldi, R. J. McEliece, R. Overbeck, Shrinivas Kudekar, V. M. Sidelnikov, V. M. Sidelnikov, Violetta Weger   +16 more
core   +1 more source

Quantum Computing in Industrial Internet of Things (IIoT) Forensics: Framework, Implications, Opportunities, and Future Directions

WIREs Forensic Science, Volume 7, Issue 3, September 2025.
Generic Quantum‐Safe IIoT Forensics Framework (QS‐IIoT‐F) ABSTRACT The continuous evolution of quantum computing has shown novel and transformative possibilities and critical implications for the Industrial Internet of Things (IIoT) forensic processes.
Victor R. Kebande
wiley   +1 more source

A DNA‐Dynamic Permutation‐Diffusion Algorithm for Image Encryption Using Scaling Chaotification Models and Advanced DNA Operations

IET Image Processing, Volume 19, Issue 1, January/December 2025.
This paper proposes a DNA‐Dynamic Concurrent Permutation‐Diffusion Algorithm (DNA‐DCP‐DA) for secure image encryption, employing novel scaling chaotification models and advanced noncommutative DNA operations to address weaknesses in existing systems.
Mustafa Kamil Khairullah, Mohd Zafri Bin Baharuddin, Reema Thabit, Mohammad Ahmed Alomari, Gamal Alkawsi, Faten A. Saif   +5 more
wiley   +1 more source

Preimage attacks on reduced‐round Keccak hash functions by solving algebraic systems

IET Information Security, 2023
In this paper, improved preimage attacks are presented on 3‐round Keccak‐256 and Keccak‐512 and 4‐round Keccak‐256 based on algebraic methods. The authors propose some new properties about the components of Keccak permutation, reconsider the existing ...
Junling Pei, Lusheng Chen
doaj   +1 more source

Influence of the Linear Layer on the Algebraic Degree in SP-Networks

IACR Transactions on Symmetric Cryptology, 2022
We consider SPN schemes, i.e., schemes whose non-linear layer is defined as the parallel application of t ≥ 1 independent S-Boxes over F2n and whose linear layer is defined by the multiplication with a (n · t) × (n · t) matrix over F2.
Carlos Cid, Lorenzo Grassi, Aldo Gunsing, Reinhard Lüftenegger, Christian Rechberger, Markus Schofnegger   +5 more
doaj   +1 more source