Browsing Mathematics (Faculty of) by Subject "isogenies"
Now showing items 1-4 of 4
-
Evaluating Large Degree Isogenies between Elliptic Curves
(University of Waterloo, 2010-12-20)An isogeny between elliptic curves is an algebraic morphism which is a group homomorphism. Many applications in cryptography require evaluating large degree isogenies between elliptic curves efficiently. For ordinary curves ... -
Implementing the Castryck-Decru attack on SIDH with general primes
(University of Waterloo, 2024-01-09)With the rapid progress of quantum computers in recent years, efforts have been made to standardize new public-key cryptographic protocols which would be secure against them. One of the schemes in contention was Supersingular ... -
Machine-Level Software Optimization of Cryptographic Protocols
(University of Waterloo, 2014-04-30)This work explores two methods for practical cryptography on mobile devices. The first method is a quantum-resistant key-exchange protocol proposed by Jao et al.. As the use of mobile devices increases, the deployment of ... -
Quantum Cost Models for Cryptanalysis of Isogenies
(University of Waterloo, 2019-05-01)Isogeny-based cryptography uses keys large enough to resist a far-future attack from Tani’s algorithm, a quantum random walk on Johnson graphs. The key size is based on an analysis in the query model. Queries do not ...