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Now showing items 1-4 of 4

    • Evaluating Large Degree Isogenies between Elliptic Curves 

      Soukharev, Vladimir (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 

      Laflamme, Jeanne (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 

      Fishbein, Dieter (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 

      Jaques, Samuel (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 ...

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