The properties of elliptic curves containing singularities over the field Zp

dc.contributor.authorJamieson-Lane, Alastair Daviden
dc.date.accessioned2015-03-01T22:38:39Z
dc.date.available2015-03-01T22:38:39Z
dc.date.issued2009en
dc.description.abstractThe 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.en
dc.identifier.urihttp://hdl.handle.net/10092/10203
dc.identifier.urihttp://dx.doi.org/10.26021/3345
dc.language.isoen
dc.publisherUniversity of Canterbury. Mathematics and Statisticsen
dc.relation.isreferencedbyNZCUen
dc.rightsCopyright Alastair David Jamieson-Laneen
dc.rights.urihttps://canterbury.libguides.com/rights/thesesen
dc.titleThe properties of elliptic curves containing singularities over the field Zpen
dc.typeTheses / Dissertations
thesis.degree.grantorUniversity of Canterburyen
thesis.degree.levelDoctoralen
thesis.degree.nameUnknownen
uc.collegeFaculty of Engineeringen
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