Darrion Thornburgh

collaborators

3 papers

math.CO2026

On lower bounds for the distances between APN functions

Maria Mihaila, Darrion Thornburgh

Whether two distinct APN functions can have a Hamming distance of $1$ remains an open problem. In 2020, L. Budaghyan et al. introduced a new CCZ-invariant $I^_{F}$ which can be used…

math.CO2025

How many cards should you lay out in a game of EvenQuads?: A detailed study of caps in AG(n,2)

Julia Crager, Felicia Flores, Timothy E. Goldberg +4

We define a \textit{cap} in the affine geometry $A G (n, 2)$ to be a subset in which any collection of 4 points is in general position. In this paper we classify, up to affine equival…

math.CO2025

On generalizing cryptographic results to Sidon sets in $F_{2}^{n}$

Darrion Thornburgh

A Sidon set $S$ in $F_{2}^{n}$ is a set such that $x + y = z + w$ has no solutions $x, y, z, w \in S$ with $x, y, z, w$ all distinct. In this paper, we prove various results on Sidon sets…

On lower bounds for the distances between APN functions

How many cards should you lay out in a game of EvenQuads?: A detailed study of caps in AG(n,2)

On generalizing cryptographic results to Sidon sets in F2n​

On generalizing cryptographic results to Sidon sets in $F_{2}^{n}$