Construction of BLT-sets over small fields.
type: Item
instance of: scholarly article
title: Construction of BLT-sets over small fields.
zbMATH Open document ID: 1044.51003
author: Maska Law
author: Tim Penttila
published in: European Journal of Combinatorics
publication date: 2004-02-14T00:00:00Z
review text: The authors describe the history of search for BLT-sets over small fields in detail. Then they give basic notions of necessary parts of the theory of BLT-sets with historical annotations. The main structure for searching BLT-sets are the projective general orthogonal groups of dimension five over fields of order \(q\leq 97\) as permutation groups on the points of the associated parabolic quadric \(Q(4,q)\). A brief outline of the techniques used to search for BLT-sets using the computer algebra package MAGMA and a list of all known examples of BLT-sets are given. In total, 28 new BLT-sets for \(27\leq q\leq 125\) are presented giving rise to 158 new flocks of the quadratic cone in \(\text{PG}(3,q)\).
Mathematics Subject Classification ID: 51E12
zbMATH DE Number: 2041874
reviewed by: Pavel Burda
describes a project that uses: Magma
MaRDI profile type: Publication
full work available at URL: j.ejc.2003.09.006
OpenAlex ID: W2037178774
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DOI: 10.1016/J.EJC.2003.09.006
description: scientific article; zbMATH DE number 2041874