Complete systems of lines on a Hermitian surface over a finite field

Authors
Ebert, GL Hirschfeld, JWP
Citation
Gl. Ebert et Jwp. Hirschfeld, Complete systems of lines on a Hermitian surface over a finite field, DES CODES C, 17(1-3), 1999, pp. 253-268
Citations number
11
Categorie Soggetti
Computer Science & Engineering
Journal title
DESIGNS CODES AND CRYPTOGRAPHY
ISSN journal
09251022 → ACNP
Volume
17
Issue
1-3
Year of publication
1999
Pages
253 - 268
Database
ISI
SICI code
0925-1022(199909)17:1-3<253:CSOLOA>2.0.ZU;2-L
Abstract
The aim is to find the maximum size of a set of mutually ske lines on a non singular Hermitian surface in PG (3, q) for various values of q. For q = 9 such extremal sets are intricate combinatorial structures intimately connec ted ith hemisystems, subreguli, and commuting null polarities. It turns out they are also closely related to the classical quartic surface of Kummer. Some bounds and examples are also given in the general case.