3 papers
math.CO2023
No-Three-in-a- Variations on the No-Three-in-a-Line Problem
Natalie Dodson, Anant Godbole, Dashleen Gonzalez +2
We pose a natural generalization to the well-studied and difficult no-three-in-a-line problem: How many points can be chosen on an grid such that no three of them form…
math.CO2023
Universality for graphs with bounded density
Noga Alon, Natalie Dodson, Carmen Jackson +3
A graph is for a (finite) family of graphs if every is a subgraph of . For a given family , the goal is t…
cs.IT2022
Improving the minimum distance bound of Trace Goppa codes
Isabel Byrne, Natalie Dodson, Ryan Lynch +2
In this article we prove that a class of Goppa codes whose Goppa polynomial is of the form where (i.e. is a trace polynomi…