2004 Student Research Conference:
17th Annual Student Research Conference

Mathematics and Computer Science

Elliptic Curves and and Their Application to Cryptography
Anthony J. Harman
Prof. Tony Vazzana, Faculty Mentor

Elliptic curves are a rich area of mathematics and their applications to cryptography are of particular interest. To begin, elliptic curves will discussed with a short explanation of what they are along with an introduction of the mechanics necessary for the cryptographic discussion to follow. The main portion of the presentation will be devoted to describing the analogue of the Diffie-Helman key exchange over elliptic curves. In addition to an abstract discussion of the system, concrete examples will be included to demonstrate how the process actually works. To conclude, the relative merits and drawbacks of the elliptic curve system will be discussed.

Keywords: Elliptic curves, cryptography

Topic(s):Mathematics

Presentation Type: Oral Paper

Session: 9-1
Location: VH 1232
Time: 8:30

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