University of Calgary

PMAT 629 - Elliptic Curves & Cryptography - Winter 2012

An introduction to elliptic curves over the rationals and finite fields. The focus is on both theoretical and computational aspects; subjects covered will include the study of endomorphism rings. Weil pairing, torsion points, group structure, and efficient implementation of point addition. Applications to cryptography will be discussed, including elliptic curve-based Diffie-Hellman key exchange, El Gamal encryption, and digital signatures, as well as the associated computational problems on which their security is based.
This course may not be repeated for credit.

Hours

  • H(3-0)

Prerequisite(s)

  • Pure Mathematics 315 or consent of the Division.
Syllabus

Sections

This course will be offered next in Winter 2014.
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