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Ramanujan graphs in cryptography
Post-Quantum Cryptography supersingular isogeny graphs Ramanujan graphs
2018/6/13
In this paper we study the security of a proposal for Post-Quantum Cryptography from both a number theoretic and cryptographic perspective. Charles-Goren-Lauter in 2006 proposed two hash functions bas...
We present a generalization of the construction of graphs by Lubotzky, Phillips and Sarnak in their celebrated article "Ramanujan graphs". The new approach consists in using octonion algebras rather ...
Ramanujan Graphs and the Random Reducibility of Discrete Log on Isogenous Elliptic Curves
random reducibility discrete log elliptic curves
2009/4/1
Cryptographic applications using an elliptic curve over a finite field
filter curves for suitability using their order as the primary criterion:
e.g. checking that their order has a large prime divi...