Unitals in the Desarguesian projective plane of order 16

J Bamberg, A Betten, CE Praeger… - Journal of Statistical …, 2014 - Elsevier
Using computer, we classify the unitals in the Desarguesian projective plane of order 16. We
use computational methods based on analysis involving tactical decompositions to break …

The Bruck–Bose map and Beukenhout–Metz unitals

R Casse, CT Quinn - Journal of statistical planning and inference, 1998 - Elsevier
The Bruck–Bose map and Beukenhout–Metz unitals - ScienceDirect Skip to main contentSkip
to article Elsevier logo Journals & Books Help Search My account Sign in View PDF …

Unitals in finite Desarguesian planes

A Cossidente, GL Ebert, G Korchmaros - Journal of Algebraic …, 2001 - Springer
We show that a suitable 2-dimensional linear system of Hermitian curves of PG (2, q 2)
defines a model for the Desarguesian plane PG (2, q). Using this model we give the …

[HTML][HTML] Constructions of unitals in Desarguesian planes

A Aguglia, L Giuzzi, G Korchmáros - Discrete mathematics, 2010 - Elsevier
We present a new construction of non-classical unitals from a classical unital U in PG (2, q2).
The resulting non-classical unitals are B–M unitals. The idea is to find a non-standard model …

Collineation groups of the intersection of two classical unitals

L Giuzzi - Journal of Combinatorial Designs, 2001 - Wiley Online Library
Kestenband proved in [12] that there are only seven pairwise non‐isomorphic Hermitian
intersections in the desarguesian projective plane PG (2, q) of square order q. His …

[PDF][PDF] Buekenhout unitals

GL Ebert - Discrete mathematics, 1999 - Citeseer
In recent years a number of researchers have been interested in constructing, analyzing,
and characterizing unitals embedded in various projective planes. Much of this work has …

[图书][B] Unitals in projective planes

S Barwick, G Ebert - 2009 - books.google.com
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 …

[引用][C] Totally irregular collineation groups and finite Desarguesian planes

CY Ho - Coding theory and design theory: part II, design theory, 1990 - dl.acm.org
Totally irregular collineation groups and finite Desarguesian planes | Coding theory and design
theory: part II, design theory skip to main content ACM Digital Library home ACM home Google …

[图书][B] Unitals embedded in finite projective planes

KL Wantz - 1995 - search.proquest.com
Abstract A unital is a 2-($ q\sp3+ 1, q+ 1, 1$)-design. Unitals embedded in finite projective
planes are studied in two settings: the classical projective plane $ PG (2, q\sp2) $ and the …

Partial unitals and related structures in Desarguesian planes

S Ball - Designs, Codes and Cryptography, 1998 - Springer
Partial Unitals and Related Structures in Desarguesian Planes Page 1 Designs, Codes and
Cryptography, 15, 231–236 (1998) c 1998 Kluwer Academic Publishers, Boston. Manufactured …