11 citations · 21 across the 5 of their papers we have counts for
4 papers · 1 filter
Orientations and cycles in supersingular isogeny graphs
Sarah Arpin, Mingjie Chen, Kristin E. Lauter +3
The paper concerns several theoretical aspects of oriented supersingular -isogeny volcanoes and their relationship to closed walks in the supersingular -isogeny graph.…
On -roots of the Hilbert class polynomial modulo
Mingjie Chen, Jiangwei Xue
The Hilbert class polynomial attached to an order in an imaginary quadratic field is the monic polynomial whose roots are pr…
Orienteering with one endomorphism
Sarah Arpin, Mingjie Chen, Kristin E. Lauter +3
In supersingular isogeny-based cryptography, the path-finding problem reduces to the endomorphism ring problem. Can path-finding be reduced to knowing just one endomorphism? It is…
Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6
Nikola Adžaga, Vishal Arul, Lea Beneish +4
We use the method of quadratic Chabauty on the quotients of modular curves by their Fricke involutions to provably compute all the rational points of these curv…