Browsing Theses by Subject "Elliptic Curve"
Now showing items 1-3 of 3
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Artin's Conjecture: Unconditional Approach and Elliptic Analogue
(University of Waterloo, 2008-08-11)In this thesis, I have explored the different approaches towards proving Artin's `primitive root' conjecture unconditionally and the elliptic curve analogue of the same. This conjecture was posed by E. Artin in the year ... -
Implementing the Schoof-Elkies-Atkin Algorithm with NTL
(University of Waterloo, 2013-04-30)In elliptic curve cryptography, cryptosystems are based on an additive subgroup of an elliptic curve defined over a finite field, and the hardness of the Elliptic Curve Discrete Logarithm Problem is dependent on the order ... -
Key Compression for Isogeny-Based Cryptosystems
(University of Waterloo, 2016-04-21)We present a method for key compression in quantum-resistant isogeny-based cryptosystems, which reduces storage and transmission costs of per-party public information by a factor of two, with no effect on the security level ...