The properties of elliptic curves containing singularities over the field Zp
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Theses / Dissertations
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Unknown
Publisher
University of Canterbury. Mathematics and Statistics
Journal Title
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Date
2009
Authors
Jamieson-Lane, Alastair David
Abstract
The study of elliptic curves is an important part of modern cryptography. In this report we consider the properties of singular elliptic curves over the field Zp, showing that they can always be factorized, that their equations always take a given form and that there are always p + 1 ± 1 points satisfying this equation over the field Zp.
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Copyright Alastair David Jamieson-Lane