Browsing University of Waterloo by Subject "isogeny"
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Classical and Quantum Algorithms for Isogeny-based Cryptography
(University of Waterloo, 2015-09-30)Isogeny-based cryptography using supersingular elliptic curves --- most prominently, the constructions of De Feo-Jao-Plut --- is one of the few practical candidates for post-quantum public key cryptography. Its formidable ... -
Security Analysis of Isogeny-Based Cryptosystems
(University of Waterloo, 2020-08-20)Let $E$ be a supersingular elliptic curve over a finite field. In this document we study public-key encryption schemes which use non-constant rational maps from $E$. The purpose of this study is to determine if such ...