Results 101 to 110 of about 4,967 (212)
Maximally nonassociative quasigroups via quadratic orthomorphisms [PDF]
Aleš Drápal, Ian M. Wanless
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An Application of Co-Medial Algebras with Quasigroup Operations on Cryptology
A modification of Markovski quasigroup based crypto-algorytm has been presented. This modification is based on the pair of co-medial quasigroup operations, which we show that they are orthogonal quasigroup operations.
A. Ehsani
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Paramedial quasigroups of prime and prime square order [PDF]
Žaneta Semanišinová
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Branched covers induced by semisymmetric quasigroup homomorphisms [PDF]
Kyle Lewis
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Investigation of Some Cryptographic Properties of the 8x8 S-boxes Created by Quasigroups [PDF]
We investigate several cryptographic properties in 8-bit S-boxes obtained by quasigroups of order 4 and 16 with several different algebraic constructions.
Aleksandra Mileva +3 more
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Logarithmetics of Finite Quasigroups (I) [PDF]
The study of non-associative algebras led to the investigation of identities connecting powers of elements of such algebras. Thus Etherington1 (1941, 1949, 1951) introduced the concept of the logarithmetic of an algebra, defining it roughly as “ the arithmetic of the indices of the general element”.
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Un paseo por los anillos de bucles
La teoría de anillos de bucles no es solamente una generalización de los anillos de grupos: es una teoría en sí misma, con origen y aún en movimiento. El concepto de anillo de bucles surge en 1944 en los trabajos de R.H.
Carmen Rosa Giraldo Vergara
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Quasigroups, right quasigroups, coverings and representations
For a fixed quasigroup Q, equivalences are established between the following categories: (i) the category of modules over the quasigroup; (ii) the category of representations of a stabilizer in the universal multiplication group; (iii) the category of representations of the fundamental groupoid of the Cayley diagram of the quasigroup in the category of
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The article is devoted to linear quasigroups and some of their generalizations. In the first part main definitions and notions of the theory of quasigroups are given. In the second part some elementary properties of linear quasigroups and their generalizations are presented.
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