Pappus configurations in the Hall plane

Source abstract

In this paper, we investigate Pappus configurations in the finite affine Hall plane. In particular, we show that for any two lines $\ell_1,\ell_2$ and for any triple of points on $\ell_1$ there is a triple of points on $\ell_2$ that are contained in a Pappus configuration, thus improving on the results of [F. Lazebnik and L. Leshock. On Pappus configurations in Hall planes. Des. Codes Cryptogr. 90 (2022), 1203--1219.].