The intersection of two linear sets of rank 3 in PG(1,q^3)

S. G. Barwick; Alice M. W. Hui; Wen-Ai Jackson

The intersection of two linear sets of rank 3 in PG(1,q^3)

Combinatorics 2026-07-20 v1

Authors: S. G. Barwick , Alice M. W. Hui , Wen-Ai Jackson

Abstract

This article studies the intersection of two linear sets of rank 3 of PG(1,q^3). In particular, all possible intersection sizes are determined, the structure of the largest intersection sets is described, and existence results are given.

Keywords

linear sets finite geometry intersection sizes PG(1,q^3) rank 3

Cite

@article{arxiv.2607.17493,
  title  = {The intersection of two linear sets of rank 3 in PG(1,q^3)},
  author = {S. G. Barwick and Alice M. W. Hui and Wen-Ai Jackson},
  journal= {arXiv preprint arXiv:2607.17493},
  year   = {2026}
}