Mingjie Chen

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20212023

most citedOrientations and cycles in supersingular isogeny graphs

11 citations · 21 across the 5 of their papers we have counts for

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Showing 2022 · math.NTShow all

3 papers · 2 filters

math.NT2022★ 11 cited

Orientations and cycles in supersingular isogeny graphs

Sarah Arpin, Mingjie Chen, Kristin E. Lauter +3

The paper concerns several theoretical aspects of oriented supersingular $ℓ$ -isogeny volcanoes and their relationship to closed walks in the supersingular $ℓ$ -isogeny graph.…

math.NT2022

On $F_{p}$ -roots of the Hilbert class polynomial modulo $p$

Mingjie Chen, Jiangwei Xue

The Hilbert class polynomial $H_{O} (x) \in Z [x]$ attached to an order $O$ in an imaginary quadratic field $K$ is the monic polynomial whose roots are pr…

math.NT2022

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…

Orientations and cycles in supersingular isogeny graphs

On Fp​-roots of the Hilbert class polynomial modulo p

Orienteering with one endomorphism

On $F_{p}$ -roots of the Hilbert class polynomial modulo $p$