Results 81 to 90 of about 998 (166)
Some applications of quasigroups in cryptology [PDF]
Computer Science Journal of Moldova, 2016 In the paper we present based on quasigroups new deniable encryption method, generalisation of Markovski stream cipher, and generalisation of El-Gamal enciphering system.
N.A. Moldovyan +2 more
doaj
Quasigroup Identities and Mendelsohn Designs
, 1989 A quasigroup is an ordered pair (Q, •), where Q is a set and (•) is a binary operation on Q such that the equations ax — b and ya — b are uniquely solvable for every pair of elements a,b in Q.
F. E. Bennett
core +1 more source
On a special class of multivariate quadratic quasigroups (MQQs)
Journal of Mathematical Cryptology, 2013 In this paper, we study a special class of recently introduced quasigroups called multivariate quadratic quasigroups (MQQs) and solve several open research problems about them. Our main contributions are threefold. The first is to provide a standard form
Chen Yanling +2 more
doaj +1 more source
A message recovery attack on multivariate polynomial trapdoor function. [PDF]
PeerJ Comput Sci, 2023 Ali R +4 more
europepmc +1 more source
Quasigroups and related systems, 2011 In this paper the concept of pentagonal quasigroup is introduced as {; ; ; IM}; ; ; -quasigroup satisfying the additional property of pentagonality. Some basic identities which are valid in a general pentagonal quasigroup are proved. Four different models for pentagonal quasigroups and their mutual relations are studied.
openaire +3 more sources
On a “grouplike” family of quasigroups
Examples and CounterexamplesQuasigroups are algebraic structures in which divisibility is always defined. This paper illustrates some similarities and differences between quasigroup theory and group theory, by singling out a special family of quasigroups which seem to be most ...
Ahmed Al Fares, Gizem Karaali
doaj +1 more source
On free quasigroups and quasigroup representations
, 2018 This work consists of three parts. The discussion begins with \emph{linear quasigroups}. For a unital ring $S$, an $S$-linear quasigroup is a unital $S$-module, with automorphisms $\rho$ and $\lambda$ giving a (nonassociative) multiplication $x\cdot y=x^\rho+y^\lambda$. If $S$ is the field of complex numbers, then ordinary characters provide a complete
openaire +3 more sources
On Multiplication Groups of Quasigroups
European Journal of Combinatorics, 1984 The author shows that all finite dihedral, symmetric, alternating, general linear and projective general linear groups and the Mathieu- groups \(M_{11}\) and \(M_{23}\) have the following property: they are isomorphic to multiplication groups of quasigroups.
openaire +2 more sources
Note on Quasigroups and Trees [PDF]
Proceedings of the Edinburgh Mathematical Society, 1963 If letters a, b, c, … are used to denote points of a nondegenerate plane cubic curve, other than the singular point if any, and if the product ab is defined as the third point of the curve collinear with a and b, we obtain an algebraic system having nonassociative multiplication (ab . c ≠ a . bc in general).
openaire +2 more sources
A Study of Q-Neutrosophic Soft Quasigroups and Their Application to Medical Decisions
Neutrosophic Sets and SystemsIn this paper, we investigate the algebraic structure of Q-neutrosophic soft quasigroups as an extension of Q-neutrosophic soft sets to non-associative systems. We establish several fundamental properties of these structures. In particular, we prove that
Benard Osoba +5 more
doaj +1 more source