Results 61 to 70 of about 137 (119)
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
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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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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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A Note on the Quasigroup of Lai–Massey Structures
CryptographyIn 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
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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
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Quasigroups and related systems, 2010 In this paper the concept of ARO-quasigroup is introduced and some identities which are valid in a general ARO-quasigroup are proved. The "geometric" concepts of midpoint, parallelogram and affine-regular octagon is introduced in a general ARO-quasigroup.
Volenec, V. +2 more
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Transactions of the American Mathematical Society, 1944 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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T-quasigroups with Stein 2-nd and 3-rd identity
Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiIn this paper we prolong research of T-quasigroups with Stein 2-rd (xy ⋅ x = y ⋅ xy) and Stein 3-rd (xy ⋅ yx = y) identities [9].
Victor Shcherbacov +2 more
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A message recovery attack on multivariate polynomial trapdoor function. [PDF]
PeerJ Comput Sci, 2023 Ali R +4 more
europepmc +1 more source