4 citations · 4 across the 7 of their papers we have counts for
7 papers
A new upper bound for Sidon sets in
Darrion Thornburgh
A subset is called a Sidon set if no four distinct points of have zero sum. It is shown that if and , then $|S|\leq 2…
Resolving a conjecture on quadratic APN functions and a new quadratic -function associated to crooked functions
Claude Carlet, Darrion Thornburgh
We say an -function is a crooked function if for any nonzero , the image of is an af…
On lower bounds for the distances between APN functions
Maria Mihaila, Darrion Thornburgh
Whether two distinct APN functions can have a Hamming distance of remains an open problem. In 2020, L. Budaghyan et al. introduced a new CCZ-invariant which can be used t…
On generalizing cryptographic results to Sidon sets in
Darrion Thornburgh
A Sidon set in is a set such that has no solutions with all distinct. In this paper, we prove various results on Sidon sets…
Uniform exclude distributions of Sidon sets
Darrion Thornburgh
A Sidon set in is a set such that the pairwise sums of distinct points are all distinct. The exclude points of a Sidon set are the sums of three distinct p…
Topological methods in zero-sum Ramsey theory
Florian Frick, Jacob Lehmann Duke, Meenakshi McNamara +5
A cornerstone result of Erd\H os, Ginzburg, and Ziv (EGZ) states that any sequence of elements in contains a zero-sum subsequence of length . While algebra…
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 to be a subset in which any collection of 4 points is in general position. In this paper we classify, up to affine equival…