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Introduction to Isogeny Cryptography
Making this section as a motivation to make sure this is part of the book. Something to work towards.

Page Plan

    Describe that there is a drive towards post-quantum algorithms
    The incredible fact that paths within isogeny graphs commute (with the help of torsion points)
    Supersingular
    \ell
    isogeny graphs are
    (+1)(\ell + 1)
    regular Ramanujan graphs
    Using paths through these graphs has spawned a whole bunch of protocols
      SIKE / BIKE / ...
      Hashes
      ...
    First we will look at the fundementals that allow these protocols to be expected as good candidates for post-quantum
    Then we look at these protocols in more detail. Hopefully with SageMath implementations for each

References I plan to use

Last modified 5mo ago
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