Browsing Theses by Subject "Isogenies"
Now showing items 1-2 of 2
-
On the effectiveness of isogeny walks for extending cover attacks on elliptic curves
(University of Waterloo, 2016-08-23)Cryptographic systems based on the elliptic curve discrete logarithm problem (ECDLP) are widely deployed in the world today. In order for such a system to guarantee a particular security level, the elliptic curve selected ... -
Post-Quantum Elliptic Curve Cryptography
(University of Waterloo, 2016-05-16)We propose and develop new schemes for post-quantum cryptography based on isogenies over elliptic curves. First we show that ordinary elliptic curves are have less than exponential security against quantum computers. These ...