Results 31 to 40 of about 67 (63)

Quasi-Invariant and Invariant Functionals and Measures on Systems of Topological Loops and Quasigroups

Siberian Mathematical Journal, 2023
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On \(m\)-inverse loops and quasigroups with a long inverse cycle [PDF]

Australas. J Comb., 2002
Suppose that there exists a permutation \(J\) of the elements of a quasigroup \((Q,\circ)\) such that, for all \(a,b\in Q\), \((a\circ b)J^m\circ aJ^{m+1}=bJ^m\). Then \((Q,\circ)\) is called an \(m\)-inverse quasigroup. When the permutation \(J\) is written in the form of a product of cycles, these cycles are called the inverse cycles of the \(m ...
A. Donald Keedwell, Victor A. Shcherbacov   +1 more
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The geometric mean and B-loop quasigroups of the convex cone of positive definite matrices

Archiv der Mathematik, 2005
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INFINITE IRREDUNDANT SYSTEMS OF IDENTITIES IN COMMUTATIVE MOUFANG LOOPS AND DISTRIBUTIVE STEINER QUASIGROUPS

Mathematics of the USSR-Izvestiya, 1988
Translation from Izv. Akad. Nauk SSSR, Ser. Mat. 51, No.1, 171-188 (Russian) (1987; Zbl 0615.20055).
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A representation of parastrophs of loops and quasigroups

Discrete Mathematics and Applications, 2004
K.K. Shchukin, V.V. Gushan
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Totally symmetric quasigroups of order 16

Journal of Combinatorial Designs, 2023
Hy Ginsberg
exaly  

Quasigroups and substitution permutation networks: a failed experiment

Cryptologia, 2021
George Teseleanu
exaly  

On check character systems over quasigroups and loops

2019
Summary: In this article we study check character systems that is error detecting codes, which arise by appending a check digit \(a_n\) to every word \(a_1a_2\cdots a_{n-1}\in Q^{n-1} \colon a_1a_2\cdots a_{n-1}\to a_1a_2\cdots a_{n-1}a_n\) with the check formula \((\dots((a_1\cdot\delta a_2)\cdot\delta^2 a_3)\dots) \cdot\delta^{n-2}a_{n-1})\cdot\delta^
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Cryptographic symmetric structures based on quasigroups

Cryptologia, 2023
George Teseleanu
exaly  

The construction of loops using right division and Ward quasigroups.

2006
The point of departure in this paper is the study of a group or a loop \(Q\) via the multiplication table \(W(Q)\) under the operation of right division [see \textit{K. W. Johnson} and \textit{P. Vojtěchovský}, Abh. Math. Semin. Univ. Hamb. 75, 121-136 (2005; Zbl 1104.20063)].
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