Results 91 to 100 of about 998 (166)

Quasigroup String Transformations and Block Cipher Design [PDF]

, 2010
The quasigroup string transformations have been used for defining several crypto primitives. Based on them, many successful cryptosystems of different kinds were published recently.
Markovski, Smile, Dimitrova, Vesna, Mileva, Aleksandra   +2 more
core   +2 more sources

Un paseo por los anillos de bucles

Revista Integración, 2012
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
doaj  

Automorphisms of Some Magmas of Order $k+k^2$

Известия Иркутского государственного университета: Серия "Математика", 2018
This paper is devoted to the study of automorphisms of finite magmas and to the representation of the symmetric permutation group $ S_k $ and some of its subgroups by automorphism groups of finite magmas.
A.V. Litavrin
doaj   +1 more source

Isotopy and parastrophy of quasigroups [PDF]

Proceedings of the American Mathematical Society, 1963
1. It has been noted that every quasigroup (Q, *) belongs to a set of 6 quasigroups, called adjugate by Fisher and Yates [4], conjugate by Stein [6], parastrophic by Sade [5]. If in (Q, *), xy=z, then in the parastrophic quasigroups (xx) (x) (yx) = zw, where wr is one of the 6 permutations of {x, yy,Z }, v7r the image of vI{xI y, Z } under wx, and (wx)
openaire   +1 more source

On the Application of Keedwell Cross Inverse Quasigroup to Cryptography

, 2013
In 1999, A. D. Keedwell found cross inverse property quasigroups (CIPQs) applicable to J. H. Ellis\u27s original schema for a public key encryption.
Tèmítọpé Gbọláhàn, Jaíyéọlá
core   +1 more source

Parastrophes of quasigroups

, 2015
Parastrophes (conjugates) of a quasigroup can be divided into separate classes containing isotopic parastrophes. We prove that the number of such classes is always 1, 2, 3 or 6. Next we characterize quasigroups having a fixed number of such classes.
openaire   +3 more sources

Breaking Another Quasigroup-Based Cryptographic Scheme [PDF]

, 2012
In their paper ``A Quasigroup Based Random Number Generator for Resource Constrained Environments , the authors Matthew Battey and Abhishek Parakh propose the pseudo random number generator LOQG PRNG 256.
Markus Dichtl, Pascale Böffgen
core   +1 more source

Representation of a gauge field via intrinsic “BRST” operator

Physics Letters B, 2015
We show that there exists a representation of a matrix-valued gauge field via intrinsic “BRST” operator assigned to matrix-valued generators of a gauge algebra. In this way, we reproduce the standard formulation of the ordinary Yang–Mills theory.
Igor A. Batalin, Peter M. Lavrov
doaj   +1 more source

Quasigroups, right quasigroups, coverings and representations

, 2018
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
openaire   +3 more sources

Quantum quasigroups and loops

Journal of Algebra, 2016
A quantum quasigroup is a family \((A,\nabla,\Delta)\), where \((A,\nabla)\) is a magma in a given symmetric monoidal category, \((A,\Delta)\) is a comagma in the same category, such that the compositions \((\Delta\otimes 1_A)\circ(1_A\otimes\nabla)\) and \((1_A\otimes\Delta)(\nabla\otimes 1_A)\) are invertible.
openaire   +2 more sources