Results 61 to 70 of about 1,787 (166)
Probability on groups and an application to cryptography [PDF]
In her thesis, Mosina introduced the concept of {\it mean-set of random (graph-) group-variables} and generalized Strong Law of Large Numbers (SLLN) to (graphs) groups, which she used for cryptanalysis of authentication schemes.
Sidoine Djimnaibeye +2 more
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Length-based attacks in polycyclic groups
The Anshel–Anshel–Goldfeld (AAG) key-exchange protocol was implemented and studied with the braid groups as its underlying platform. The length-based attack, introduced by Hughes and Tannenbaum, has been used to cryptanalyze the AAG protocol in this ...
Garber David +2 more
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Background and aims. The mechanical properties of fiber-reinforced composite fixed partial dentures (FPDs) are affected by fiber impregnation. The aim of this in vitro study was to compare the fracture resistance of composite fixed partial dentures ...
Ramin Mosharraf, Sepideh Torkan
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In the last decade, a number of public key cryptosystems based on com- binatorial group theoretic problems in braid groups have been proposed. We survey these cryptosystems and some known attacks on them. This survey includes: Basic facts on braid groups and on the Garside normal form of its elements, some known algorithms for solving the word problem ...
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In a previous work [11], the author considered a representation of the braid group ρ: B_n\to GL_m(\Bbb Z[q^{\pm 1},t^{\pm 1}]) (m=n(n-1)/2), and proved it to be faithful for n=4. Bigelow [3] then proved the same representation to be faithful for all n by a beautiful topological argument. The present paper gives a different proof of the faithfulness for
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Finite Group Factorizations and Braiding
LATEX, 39 pages, more final ...
Beggs, E.J., Gould, J.D., Majid, S.
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Objective: This in vitro study evaluated the fracture strength and bending amount of twotypes of fiber reinforced composite (FRC) and cast metal frameworks used for fabrication of inlay fixed partial dentures (IFPDs). Materials and Methods: Seventy-two
M. Sadeghi
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This is an introduction to the braid groups, as presented in the summer school and workshop on braid groups at the National University of Singapore in June 2007.
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Desarrollo de una tesis doctoral en Etnomatemática: construcción de una investigación emergente
The document is about the history of the development of the author’s PhD thesis. At the beginning, by understanding Ethnomathematics as the study of mathematical practices of specific cultural groups, the research focuses on the mathematical practices of
Veronica Albanese
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Some Aspects of Mathematical and Physical Approaches for Topological Quantum Computation [PDF]
A paradigm to build a quantum computer, based on topological invariants is highlighted. The identities in the ensemble of knots, links and braids originally discovered in relation to topological quantum field theory are shown: how they define Artin ...
V. Kantser
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