Elliptic Curve Group Over Finite Fields: Applications in Cryptography

Lester, Jeremy

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dc.contributor.author	Lester, Jeremy	en_US
dc.date.accessioned	2013-10-29T14:59:51Z
dc.date.accessioned	2019-09-08T02:45:48Z
dc.date.available	2013-10-29T14:59:51Z
dc.date.available	2019-09-08T02:45:48Z
dc.date.issued	2012
dc.identifier	820353045	en_US
dc.identifier.other	b21271422	en_US
dc.identifier.uri	http://hdl.handle.net/1989/10506
dc.description	vi, 30 leaves : ill. ; 29 cm.	en_US
dc.description.abstract	It is the intent of this thesis to study the mathematics, and applications behind the elliptic curve group over F[subscript p]. Beginning with the definition of the '+' operation, under which the points on the elliptic curves form an abelian group. Then moving to a brief introduction to both public, and private key cryptography. This will lead into an explanation of the discrete logarithm problem along with an implementation using the elliptic curve group over F[subscript p]. This thesis will conclude with an exploration Lenstra's factoring algorithm using the elliptic curve group.	en_US
dc.description.statementofresponsibility	by Jeremy W. Lester.	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartofseries	Master's Theses no. 1350	en_US
dc.subject.lcsh	Curves, Elliptic.	en_US
dc.subject.lcsh	Finite fields (Algebra)--Cryptography.	en_US
dc.title	Elliptic Curve Group Over Finite Fields: Applications in Cryptography	en_US
dc.type	Thesis	en_US

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