Results 11 to 20 of about 166 (137)

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

Journal of Mathematics
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
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Nwazish Ali, Abdu Qaid Alameri   +4 more
doaj   +2 more sources

Eigenvalues of Relatively Prime Graphs Connected with Finite Quasigroups

Journal of Mathematics
A relatively new and rapidly expanding area of mathematics research is the study of graphs’ spectral properties. Spectral graph theory plays a very important role in understanding certifiable applications such as cryptography, combinatorial design, and ...
Muhammad Nadeem, Nwazish Ali, Hafiz Muhammad Bilal, Md. Ashraful Alam, M. I. Elashiry, Kholood Alnefaie   +5 more
doaj   +2 more sources

An Algebraic Approach of Topological Indices Connected with Finite Quasigroups

Journal of Function Spaces
In mathematical chemistry, the algebraic polynomial serves as essential for calculating the most accurate expressions of distance-based, degree-distance-based, and degree-based topological indices.
Muhammad Nadeem, Md. Ashraful Alam, Nwazish Ali, M. I. Elashiry   +3 more
doaj   +2 more sources

Chromatic Polynomials and Cryptographic Hashing on WIP-Quasigroup Structures

Journal of Mathematics
Cryptographic hash functions are indispensable for today’s information security because they secure data integrity, authentication and encrypted storage.
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Komiljon Mustafoyev, Samuel Asefa Fufa   +4 more
doaj   +2 more sources

Holomorphism and Edge Labeling: An Inner Study of Latin Squares Associated with Antiautomorphic Inverse Property Moufang Quasigroups with Applications

Complexity
Taking into account the most recent improvements in graph theory and algebra, we can associate graphs of some mathematical structures with certifiable, widely known applications.
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Ismail Naci Cangul, J. Akhter   +4 more
doaj   +2 more sources

Topological Sequences Connected With Inverse Graphs of Finite Flexible Weak Inverse Property Quasigroups: An Approach From Polynomials to Machine Learning

International Journal of Mathematics and Mathematical Sciences
Research on the confluence of algebra, graph theory, and machine learning has resulted in significant discoveries in mathematics, computer science, and artificial intelligence. Polynomial coefficients can be beneficial in machine learning.
Faizah D. Alanazi
doaj   +2 more sources

FOUNDATIONS OF QUASIGROUPS. [PDF]

Proc Natl Acad Sci U S A, 1956
Stein SK.
europepmc   +5 more sources

A Unified Approach to Image Recognition and Cryptography via Flexible Weak Inverse Property Quasigroups

Journal of Function Spaces
Nonassociative algebra presents multiple options for comprehending and dealing with difficulties in graph theory, artificial intelligence, and cryptography.
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Arshad, Samuel Asefa Fufa   +4 more
doaj   +2 more sources

Okubo quasigroups

Documenta Mathematica, 2022
Paige loops, simple non-associative Moufang loops, were constructed by Paige as quotients of the set of Zorn vector-matrices of unit norm under split octonion multiplication. In this paper, we show that the same quotient set sustains two related simple quasigroup structures, in which the split octonion multiplication is replaced with multiplication ...
Smith, Jonathan D. H., Vojtěchovský, Petr   +1 more
openaire   +2 more sources

Cycles of quadratic Latin squares and antiperfect 1‐factorisations

Journal of Combinatorial Designs, Volume 31, Issue 9, Page 447-475, September 2023., 2023
Abstract A Latin square of order n $n$ is an n × n $n\times n$ matrix of n $n$ symbols, such that each symbol occurs exactly once in each row and column. For an odd prime power q $q$ let F q ${{\mathbb{F}}}_{q}$ denote the finite field of order q $q$.
Jack Allsop
wiley   +1 more source