Results 71 to 80 of about 1,397 (124)

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 , A.V. Shcherbacov, V.A. Shcherbacov   +2 more
doaj  

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, Gligoroski Danilo, Knapskog Svein J.   +2 more
doaj   +1 more source

Greedy quasigroups and combinatorial games [PDF]

, 2004
Greedy quasigroups arose out of a desire to better understand certain combinatorial games. In this paper, I will discuss some basis combinatorial game theory to provide motivation and quasigroup theory as background information.
Rice, Theodore, Theodore Allen Rice
core   +1 more source

Mal’cev classes of left quasigroups and quandles [PDF]

, 2021
In this paper we investigate some Mal’cev classes of varieties of left quasigroups. We prove that the weakest non-trivial Mal’cev condition for a variety of left quasigroups is having a Mal’cev term and that every congruence meet-semidistributive variety
Bonatto M., Fioravanti S.
core   +1 more source

A Note on the Quasigroup of Lai–Massey Structures

Cryptography
In our paper, we explore the consequences of replacing the commutative group operation used in Lai–Massey structures with a quasigroup operation. We introduce four quasigroup versions of the Lai–Massey structure and prove that for quasigroups isotopic ...
George Teşeleanu
doaj   +1 more source

Securing Retinal Template Using Quasigroups

Journal of Advances in Information Technology, 2011
Biometric plays important role in person recognition and identification. It is more secure than the traditional systems like password and token based systems. The traditional systems can be stolen, misplaced or destroyed.
N. Radha, T. Rubya, S. Karthikeyan
doaj   +1 more source

A message recovery attack on multivariate polynomial trapdoor function. [PDF]

PeerJ Comput Sci, 2023
Ali R, Hussain MM, Kanwal S, Hajjej F, Inam S.   +4 more
europepmc   +1 more source

Quantum Quasigroups and the Quantum Yang–Baxter Equation

Axioms, 2016
Quantum quasigroups are algebraic structures providing a general self-dual framework for the nonassociative extension of Hopf algebra techniques. They also have one-sided analogues, which are not self-dual.
Jonathan Smith
doaj   +1 more source

T-quasigroups with Stein 2-nd and 3-rd identity

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
In this paper we prolong research of T-quasigroups with Stein 2-rd (xy ⋅ x = y ⋅ xy) and Stein 3-rd (xy ⋅ yx = y) identities [9].
Victor Shcherbacov, Irina Radilova, Petr Radilov   +2 more
doaj   +1 more source

A new method for computing the number of n-quasigroups [PDF]

, 2006
We use the isotopy classes of quasigroups for computing the numbers of finite n-quasigroups (n = 1, 2, 3, ...). The computation is based on a property that every two isotopic n-quasigroups are building substructures of the same number of n +1-quasigroups.
Markovski, Smile, Dimitrova, Vesna, Mileva, Aleksandra   +2 more
core   +1 more source