This book is a monograph on unitals embedded in? nite projective planes. Unitals are an
interesting structure found in square order projective planes, and numerous research …

In this article we are interested in characterization theorems of the point sets of classical
objects such as conics, quadrics, Hermitian varieties and (Baer) subgeometries in terms of …

This paper addresses a number of problems concerning Buekenhout-Tits unitals in PG (2, q
2), where q= 2 2 e+ 1 and e≥ 1. We show that all Buekenhout-Tits unitals are equivalent …

Abstract In PG (2, q 2) let ℓ∞ denote a fixed line, then the Baer subplanes which intersect
ℓ∞ in q+ 1 points are called affine Baer subplanes. Call a Baer subplane of PG (2, q 2) non …

The André/Bruck and Bose representation ([1],[5, 6]) of PG (2, q 2) in PG (4, q) is a tool used
by many authors in the proof of recent results. In this paper the André/Bruck and Bose …

Abstract In De Winter and Thas (Des Codes Cryptogr, 32, 153–166, 2004) a semipartial
geometry S (U) was constructed from any Buekenhout–Metz unital U in PG (2, q 2), and it …

We prove that every Moulton plane of odd order—by duality every generalised André plane—
contains a unital. We conjecture that such unitals are non-classical, that is, they are not …

Abstract Low-Density Parity-Check (LDPC) codes form an important class of error correcting
codes for today's communication systems. These codes allow for a highly efficient decoding …

This thesis revisits the topic of unitals in finite projective planes. A unital U in a projective
plane of order q2 is a set of q3+ 1 points, such that every line meets U in one or q+ 1 points …

We consider two families of point sets in (not necessarily finite) projective planes, one of
which consists of the Hermitian curves, and give a common characterization of the point sets …