University of Calgary

PMAT 629 - (Cpsc629)Elliptic Curves & Cryptography - Winter 2014

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.


  • H(3-0)


  • Pure Mathematics 315 or consent of the Division.


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