Results 51 to 60 of about 2,856 (140)
Non-associative geometry and discrete structure of spacetime [PDF]
, 2000 A new mathematical theory, non-associative geometry, providing a unified algebraic description of continuous and discrete spacetime, is introduced.Comment: LATeX2e file, 11 pages, talk given at "Loop's 99 meeting" (Prague, July 27 - August 1, 1999). To
Nesterov, Alexander I., Sabinin, Lev. V.
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An Algebraic Approach of Topological Indices Connected with Finite Quasigroups
Journal of Function SpacesIn mathematical chemistry, the algebraic polynomial serves as essential for calculating the most accurate expressions of distance-based, degree-distance-based, and degree-based topological indices.
Muhammad Nadeem +3 more
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On methods of constructing AD-quasigroups
Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiWe research T-quasigroups with AD identity and Schweitzer identity. The necessary and sufficient condition has been determined that in the T-quasigroup G of the form x • y=ϕ(x)+ψ(y), AD identity and the Schweitzer identity are true.
Liubomir Chiriac +2 more
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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.
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Multivariate Quadratic Equations in Public-key Cryptography
Безопасность информационных технологий, 2013 The work is dedicated to appliances of multivariate quadratic equations in modern public-key cryptography. The existing cryptosystems are reviewed, pointing out their pros and contras.
Andrey Valerievich Zhatkin
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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 +2 more
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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.
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Hamiltonian selfdistributive quasigroups
Journal of Algebra, 2005 The problem of the existence of non-medial distributive hamiltonian quasigroups is solved. Translating this problem first to commutative Moufang loops with operators, then to ternary algebras and, finally, to cocyclic modules over\linebreak $\Bbb Z[x,x^{-1},(1-x)^{-1}]$, it is shown that every non-medial distributive hamiltonian quasigroup has at least
Herbera, Dolors +2 more
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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 +2 more
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Journal of MathematicsA connection between cryptography and polynomial functions is extremely significant. Mathematical performance of polynomials helps to enhance the cryptographic primitives, which are trustworthy as well as straightforward representation tools, in everyday
Mohammad Mazyad Hazzazi +4 more
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