Finite Fields and Elliptic Curves

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Finite Fields and Elliptic Curves

Name:Personal
Scott Lair
Role :Text(marcrelator)
creator

Name:Personal
Matthew Ledbetter
Role :Text(marcrelator)
creator

Name:Personal
Patrick Lewallen
Role :Text(marcrelator)
creator

Name:Personal
Chris Hall
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creator

typeOfResource
text
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Powerpoint/PDF
Origin Information Place
Laramie, Wyoming

University of Wyoming
(keyDate="yes")
4/24/2010

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born digital

abstract
An equation in two variables can have infinitely many real solutions. The resulting geometric object is one-dimensional, i.e. a curve. If we replace the real numbers with a finite field, then there are only finitely many solutions. We consider a special class of curves known as elliptic curves and study the number of solutions as we vary both the finite field and curve. In this talk we will define finite fields with prime order and describe the counting problems we considered.
note
From - Undergraduate Research Day 2010 - Celebration of Research - Abstracts
Subject
Undergraduate Research Day

Related Item:Host Title Information
Undergraduate Research Day 2010

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http://digital.uwyo.edu/copyright.htm
Location (usage="primary display")
http://hdl.handle.net/10176/wyu:564