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Distribution of cycles in supersingular $\ell$-isogeny graphs
April 1, 2024, 3:24 a.m. |
IACR News www.iacr.org
ePrint Report: Distribution of cycles in supersingular $\ell$-isogeny graphs
Eli Orvis
Recent work by Arpin, Chen, Lauter, Scheidler, Stange, and Tran counted the number of cycles of length $r$ in supersingular $\ell$-isogeny graphs. In this paper, we extend this work to count the number of cycles that occur along the spine. We provide formulas for both the number of such cycles, and the average number as $p \to \infty$, with $\ell$ and $r$ fixed. In particular, we show that when …
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