Darrion Thornburgh

activity

20222026

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

4 citations · 4 across the 7 of their papers we have counts for

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2 papers · 1 filter

math.CO2026

A new upper bound for Sidon sets in $F_{2}^{4 k + 3}$

Darrion Thornburgh

A subset $S \subseteq F_{2}^{n}$ is called a Sidon set if no four distinct points of $S$ have zero sum. It is shown that if $n \geq 7$ and $n \equiv 3 mod 4$ , then $|S|\leq 2…

math.CO2026

Resolving a conjecture on quadratic APN functions and a new quadratic $(n, n)$ -function associated to crooked functions

Claude Carlet, Darrion Thornburgh

We say an $(n, n)$ -function $F : F_{2}^{n} \to F_{2}^{n}$ is a crooked function if for any nonzero $a \in F_{2}^{n}$ , the image of $D_{a} F (x) = F (x) + F (x + a)$ is an af…

A new upper bound for Sidon sets in F24k+3​

Resolving a conjecture on quadratic APN functions and a new quadratic (n,n)-function associated to crooked functions

A new upper bound for Sidon sets in $F_{2}^{4 k + 3}$

Resolving a conjecture on quadratic APN functions and a new quadratic $(n, n)$ -function associated to crooked functions