From the 1 of 5 linked papers with an AI index.
5 papers
The Spine: A Supersingular Highway
Taha Hedayat, Renate Scheidler, Sarah Arpin
The paper analyzes the spine subgraph of the supersingular ℓ‑isogeny graph for ℓ = 2 and primes p ≡ 71, 119 (mod 120), computing distance, eccentricity, and diameter of its compone…
Computing Invariants of Artin-Schreier Curves
Juanita Duque-Rosero, Elisa Lorenzo GarcÃa, 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 GarcÃa +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…