Ryan Lynch

collaborators

2 papers

math.CO2023

No-Three-in-a- $Θ :$ 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 $n \times n$ grid such that no three of them form…

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 $g (x) = x + x^{q} + \dots + x^{q^{m - 1}}$ where $m \geq 3$ (i.e. $g (x)$ is a trace polynomi…

No-Three-in-a-Θ: Variations on the No-Three-in-a-Line Problem

Improving the minimum distance bound of Trace Goppa codes

No-Three-in-a- $Θ :$ Variations on the No-Three-in-a-Line Problem