L. Rose

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math.CO2025

Affine Equivalence of Subsets of $F_{2}^{n}$ via Venn Diagrams and Applications to Sidon Sets

Kariane Calta, Sarah Covey, Timothy E. Goldberg +2

Two subsets $S$ and $T$ of $F_{2}^{n}$ are \textit{affinely equivalent} if there is an affine automorphism of $F_{2}^{n}$ taking $S$ to $T$ . Given a basis of the affine s…

math.CO2025

How Many Cards Should You Lay Out in Quad-128: A Classification of Caps in AG(7,2)

Karianne Calta, Timothy E. Goldberg, Lauren L. Rose

We define a cap in the affine geometry AG(n,2) to be a subset in which every collection of four points is in general position. In this paper, we classify, up to affine equivalence,…

Affine Equivalence of Subsets of F2n​ via Venn Diagrams and Applications to Sidon Sets

How Many Cards Should You Lay Out in Quad-128: A Classification of Caps in AG(7,2)

Affine Equivalence of Subsets of $F_{2}^{n}$ via Venn Diagrams and Applications to Sidon Sets