منابع مشابه
Quasigroup based crypto-algorithms
Modifications of Markovski quasigroup based crypto-algorithm have been proposed. Some of these modifications are based on the systems of orthogonal n-ary groupoids. T -quasigroups based stream ciphers have been constructed. 2000 Mathematics Subject Classification: 94A60, 20N05, 20N15
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Some fixed and coincidence point theorems for R-weakly commuting mappings are obtained. Our results generalize some recent results of Daffer and Kaneko [2] and many of the others. AMS Mathematics Subject Classification (2000): 54H25
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Given a nite setA we consider quasigroup operations n on A and we use them to de ne transformations E n D n A A where A is the set of all nite strings with members from A We show that the mappings E n and D n have several useful properties suitable for many purposes in cryptography coding theory de ning and improving pseudo random generators
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Fedir M. Sokhats’kyi recently posed four problems concerning parastrophic equivalence between generalized quasigroup functional equations. Sava Krstić in his PhD thesis established a connection between generalized quadratic quasigroup functional equations and connected cubic graphs. We use this connection to solve two of Sokhats’kyi’s problems, giving also complete characterization of parastrop...
متن کاملSymmetric Functions in Noncommuting Variables
Consider the algebra Q〈〈x1, x2, . . .〉〉 of formal power series in countably many noncommuting variables over the rationals. The subalgebra Π(x1, x2, . . .) of symmetric functions in noncommuting variables consists of all elements invariant under permutation of the variables and of bounded degree. We develop a theory of such functions analogous to the ordinary theory of symmetric functions. In p...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1952
ISSN: 0002-9939
DOI: 10.2307/2031885