Subsets of P⁴ with no four points on a plane

2025/11/07 by Geertrui Van de Voorde, José Felipe Voloch, Van de Voorde, Geertrui +1
Mathematics · Engineering · #Limits and Structures in Graph Theory #graph theory and CDMA systems #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2511.04884

Abstract

We describe a new construction of a subset of P⁴ with no four points on a plane over any finite field of order q in which 3 is not a square. This set has size 2q + 1, is maximal with respect to inclusion, and is the largest known such set.

Citations

• On 4-general sets in finite projective spaces

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