Results 61 to 70 of about 1,878 (148)

Finite automata over magmas: models and some applications in Cryptography [PDF]

Computer Science Journal of Moldova, 2018
In the paper the families of finite semi-automata and reversible finite Mealy and Moore automata over finite magmas are defined and analyzed in detail.
Volodymyr V. Skobelev, Volodymyr G. Skobelev   +1 more
doaj  

LGS-quasigroups

Quasigroups and related systems, 2009
The concept of a LGS-quasigroup is defined and investigated in this paper. The geometric concepts of parallelograms and midpoints are introduced in a general LGS-quasigroup and the geometrical interpretation in the LGS-quasigroup $C(\frac{;1};{;2};(3 + \sqrt 5))$ is given.
Kolar Begović, Zdenka, Volenec, Vladimir   +1 more
openaire   +2 more sources

Row‐Hamiltonian Latin squares and Falconer varieties

Proceedings of the London Mathematical Society, Volume 128, Issue 1, January 2024.
Abstract A Latin square is a matrix of symbols such that each symbol occurs exactly once in each row and column. A Latin square L$L$ is row‐Hamiltonian if the permutation induced by each pair of distinct rows of L$L$ is a full cycle permutation. Row‐Hamiltonian Latin squares are equivalent to perfect 1‐factorisations of complete bipartite graphs.
Jack Allsop, Ian M. Wanless
wiley   +1 more source

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

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

Oriented Steiner quasigroups [PDF]

Journal of Algebra and Its Applications, 2014
We introduce the notion of an oriented Steiner quasigroup and develop elements of a relevant algebraic apparatus. The approach is based upon (modified) Schreier-type f-extensions for quasigroups (cf. earlier works [10, 11, 14]) achieved through oriented Steiner triple systems.
openaire   +2 more sources

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

Pentagonal quasigroups [PDF]

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   +4 more sources