On the existence of incomplete transversal designs with block size five
type: Item
instance of: scholarly article
title: On the existence of incomplete transversal designs with block size five
zbMATH Open document ID: 0815.05019
DOI: 10.1016/0012-365X(93)E0110-P
author: V. Pereyra
published in: Discrete Mathematics
publication date: 1995-02-01T00:00:00Z
review text: The author considers incomplete transversal designs with block size five \(\text{TD} [5;v]- \text{TD} [5; n]\), i.e. transversal designs with one subdesign removed. He shows, by construction, that such a design exists iff \(v\geq 4n\) and \(n\geq 1\), with 108 possible exceptional pairs \((v,n)\) which are listed. This result improves previous ones.
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 716448
zbMATH Keywords: MOLS
zbMATH Keywords: incomplete transversal designs
zbMATH Keywords: block size
MaRDI profile type: Publication
cites work: Q3686719
cites work: Four MOLS of order 10 with a hole of order 2
cites work: More mutually orthogonal latin squares
cites work: Mols with holes
cites work: Q3991272
cites work: Q4138739
cites work: Existence of orthogonal Latin squares with aligned subsquares
cites work: Nonextendibility Conditions on Mutually Orthogonal Latin Squares
cites work: Q3801566
cites work: Q3758837
cites work: On sets of three mols with holes
cites work: Q3728004
cites work: Q3337477
cites work: Q3309839
cites work: Embeddings on \(S(2,4,v)\)
cites work: Q3680840
cites work: Q3826562
full work available at URL: 0012-365x(93)e0110-p
OpenAlex ID: W2064355596
Recommended article: Q3991272
Recommended article: Existence of incomplete transversal designs with block size five and any index \(\lambda\)
Recommended article: Q3826562
Recommended article: On directed incomplete transversal designs with block size five
Recommended article: Existence of nested designs with block size five
Recommended article: On the existence of block-transitive combinatorial designs
Recommended article: Existence of optimal strong partially balanced designs with block size five.
Recommended article: On directed designs with block size five
description: scientific article; zbMATH DE number 716448