5 papers · 1 filter
The Spine: A Supersingular Highway
Taha Hedayat, Renate Scheidler, Sarah Arpin
We consider the structure of the spine of the supersingular -isogeny graph for one of the cases which arXiv:2502.03613 was not able to fully describe, and $p = 71,…
Computing Invariants of Artin-Schreier Curves
Juanita Duque-Rosero, Elisa Lorenzo García, Beth Malmskog +1
We present an algorithmic framework for computing generators for the ring of invariants of an Artin-Schreier curve. We give explicit invariants for almost all Artin-Schreier curves…
Computing submodules of points of general Drinfeld modules over finite fields
Antoine Leudière, Renate Scheidler
We present an algorithm for computing the structure of any submodule of the module of points of a Drinfeld -module over a finite field, where is a function ring over $\mathb…
The Spine of a Supersingular -Isogeny graph
Taha Hedayat, Sarah Arpin, Renate Scheidler
Supersingular elliptic curve -isogeny graphs over finite fields offer a setting for a number of quantum-resistant cryptographic protocols. The security analysis of these sche…
On invariants of Artin-Schreier curves
Juanita Duque-Rosero, Heidi Goodson, Elisa Lorenzo García +2
The main goal of this article is to expand the theory of invariants of Artin-Schreier curves by giving a complete classification in genus 3 and 4. To achieve this goal, we first es…