Orthogonal geometries over finite fields with characteristic \(\neq 2\) and block designs
type: Item
instance of: scholarly article
title: Orthogonal geometries over finite fields with characteristic \(\neq 2\) and block designs
zbMATH Open document ID: 0792.05035
DOI: 10.1007/BF02032920
author: Benfu Yang
author: Wandi Wei
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1994-07-24T00:00:00Z
review text: Let \(q\) be an odd prime power and \(F_ p\) the finite field with \(q\) elements. Denote by \(\text{OV}_ n(F_ p)\) the \(n\)-dimensional orthogonal geometry over \(F_ p\). Based on the conjugation relationship between the subspaces in \(\text{OV}_ n(F_ p)\) which has been investigated by \textit{B. Yang} and \textit{W. Wei} in [Linear Algebra Appl. 134, 1-23 (1990; Zbl 0697.05015)], the authors take as blocks some subspace pairs and then construct some types of BIB designs (Theorems 1 and 2) and PBIB designs (Theorem 3 and 4 for two associate classes; Theorems 5 to 8 for more associate classes). However, they have a big value of parameters.
reviewed by: Sanpei Kageyama
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 51E05
zbMATH DE Number: 508935
zbMATH Keywords: orthogonal geometry
zbMATH Keywords: BIB
zbMATH Keywords: PBIB
MaRDI profile type: Publication
cites work: Q5525129
cites work: Q3340866
cites work: Q3818490
cites work: Q5525130
cites work: Finite orthogonal geometries with characteristic \(\neq 2\) and PBIB designs. II
cites work: Finite orthogonal geometries with characteristic \(\neq 2\) and PBIB designs. I
cites work: Q3472117
description: scientific article; zbMATH DE number 508935