Existence of affine \(\alpha\)-resolvable PBIB designs with some constructions
type: Item
instance of: scholarly article
title: Existence of affine \(\alpha\)-resolvable PBIB designs with some constructions
zbMATH Open document ID: 1188.05030
author: Satoru Kadowaki
author: Sanpei Kageyama
published in: Hiroshima Mathematical Journal
publication date: 2009-10-12T00:00:00Z
review text: The authors employ number-theoretic means to investigate affine \(\alpha\)-resolvable partially balanced incomplete block (PBIB) designs with two associate classes, characterizing parameters in closed form, dealing with existence questions, and providing new methods of construction. Tables are provided for affine resolvable singular group divisible designs, for affine resolvable semi-regular group divisible designs, and for affine resolvable Latin-square designs, all with \(v\leq 100\) and \(r,k\leq 20\). Of these, existence is unknown in only six cases.
reviewed by: Chester J. Salwach
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 62K10
Mathematics Subject Classification ID: 51E15
Mathematics Subject Classification ID: 05E30
Mathematics Subject Classification ID: 05B20
zbMATH DE Number: 5613992
zbMATH Keywords: affine \(\alpha\)-resolvable PBIB design with two associate classes
zbMATH Keywords: group divisible design
zbMATH Keywords: Hadamard matrix
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5613992