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Please use this identifier to cite or link to this item: http://hdl.handle.net/1974/6895

Title: Constructing Isogenies of Elliptic Curves Over Finite Fields
Authors: Muresan, Adrian

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Adrian Muresan Final Paper -Computing isogenies of elliptic curves over finite fields.pdf406.4 kBAdobe PDFView/Open
Keywords: Abstract algebra
elliptic curves
Issue Date: 30-Nov-2011
Abstract: It is known that two elliptic curves over a finite field are isogenous if and only if they have the same number of points over that field (theorem due to Tate). The proof of Tate’s theorem is, unfortunately, highly abstract and does not aid in constructing such an isogeny. This paper will outline and discuss the algorithm that Galbraith put forth to achieve this task.
URI: http://hdl.handle.net/1974/6895
Appears in Collections:Mathematics & Statistics Graduate Projects
Queen's Graduate Projects

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