Now showing items 1-6 of 6

    • Digital Signature Schemes Based on Hash Functions 

      Lafrance, Philip (University of Waterloo, 2017-04-19)
      Cryptographers and security experts around the world have been awakened to the reality that one day (potentially soon) large-scale quantum computers may be available. Most of the public-key cryptosystems employed today on ...
    • Non-Constructivity in Security Proofs 

      Soundararajan, Priya (University of Waterloo, 2018-09-10)
      In the field of cryptography, one generally obtains assurances for the security of a cryptographic protocol by giving a reductionist security proof, which is comprised of a reduction from breaking a mathematical problem ...
    • On the effectiveness of isogeny walks for extending cover attacks on elliptic curves 

      Yee, Randy (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 ...
    • 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 ...
    • Signature Schemes in the Quantum Random-Oracle Model 

      Eaton, Edward (University of Waterloo, 2017-04-25)
      A signature scheme is a fundamental component in modern digital communication. It allows for authenticated messages, without which it would be nearly impossible to ensure security when using most modern technologies. ...
    • Worst-Case to Average-Case Reductions for the SIS Problem: Tightness and Security 

      Bakos Lang, Elena (University of Waterloo, 2019-07-30)
      We present a framework for evaluating the concrete security assurances of cryptographic constructions given by the worst-case SIVP_γ to average-case SIS_{n,m,q,β} reductions. As part of this analysis, we present the tightness ...

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