Spreads and packings for a class of \(((2^ n+1)\) \((2^{n-1}-1)+1,2^{n-1},1)\)-designs
type: Item
instance of: scholarly article
title: Spreads and packings for a class of \(((2^ n+1)\) \((2^{n-1}-1)+1,2^{n-1},1)\)-designs
zbMATH Open document ID: 0574.05010
DOI: 10.1016/0097-3165(85)90045-7
published in: Journal of Combinatorial Theory. Series A
publication date: 1985-01-01T00:00:00Z
review text: Using the irreducible quadratic form over \(GF(2^ n)\) and the additive subgroup of \(GF(2^ n)\) of order \(2^ i\) \textit{R. H. F. Denniston} [J. Comb. Theory 6, 317-319 (1969; Zbl 0165.236)] constructed the \((v,k,\lambda)\)-BIBD with \(v=(2^ n+1)(2^ i-1)+1,\) \(k=2^ i\), \(\lambda =1\). The authors of this paper find and classify spreads and packings of Denniston BIBDs, where n is even and \(i=n-1>1\).
reviewed by: K.Burian
Mathematics Subject Classification ID: 05B40
Mathematics Subject Classification ID: 51A45
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 3916287
zbMATH Keywords: BIBD
zbMATH Keywords: spreads
zbMATH Keywords: packings
author: R. D. Baker
author: Gary L. Ebert
MaRDI profile type: Publication
full work available at URL: 0097-3165(85)90045-7
OpenAlex ID: W2079799761
cites work: Q3220594
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cites work: Möbiusebenen gerader Ordnung
cites work: Some maximal arcs in finite projective planes
cites work: On resolvable designs
cites work: Chains in the projective line
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description: scientific article; zbMATH DE number 3916287