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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 -isogeny volcanoes and their relationship to closed walks in the supersingular -isogeny graph.…
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…