A characterization of the primals in \(PG(m,2)\)
type: Item
instance of: scholarly article
title: A characterization of the primals in \(PG(m,2)\)
zbMATH Open document ID: 0759.51007
DOI: 10.1007/BF00141969
author: Ronald Shaw
published in: Designs, Codes and Cryptography
publication date: 1993-01-16T00:00:00Z
review text: Let \(X\) be a set of the projective space \(PG(m,2)\) over the field with two elements, and let \(0\leq r\leq m\). The author proves that \(X\) is a primal of degree \(r\) (i.e. defined by a form of degree \(r\)) if and only if \(X\) intersects every \(r\)-flat in an odd number of points.
reviewed by: Theo Grundhöfer
Mathematics Subject Classification ID: 51E20
zbMATH DE Number: 95041
zbMATH Keywords: primal
zbMATH Keywords: form of degree \(r\)
MaRDI profile type: Publication
cites work: Finite geometries and Clifford algebras
cites work: Q4026210
description: scientific article; zbMATH DE number 95041