Browsing Combinatorics and Optimization by Subject "Elliptic Curve"

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Implementing the Schoof-Elkies-Atkin Algorithm with NTL

Kok, Yik Siong (University of Waterloo, 2013-04-30)

In elliptic curve cryptography, cryptosystems are based on an additive subgroup of an elliptic curve defined over a finite field, and the hardness of the Elliptic Curve Discrete Logarithm Problem is dependent on the order ...
Key Compression for Isogeny-Based Cryptosystems

Leonardi, Christopher (University of Waterloo, 2016-04-21)

We present a method for key compression in quantum-resistant isogeny-based cryptosystems, which reduces storage and transmission costs of per-party public information by a factor of two, with no effect on the security level ...