Further Constructions for $BIB$ Designs With Nested Rows and Columns

Hishida, Takaaki; Jimbo, Masakazu; Mishima, Miwako; Mutoh, Yukiyasu; Ozawa, Kazuhiro

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Ars Combinatoria

Volume 086
Pages: 239-256

Research article

Further Constructions for $B I B$ Designs With Nested Rows and Columns

^¹, ^², ^³, ^², ^⁴

¹Department of Information Network Engineering Aichi Institute of Technology Toyota 470-0392, Japan

²Graduate School of Information Science Nagoya University Nagoya 464-8601, Japan

³Information and Multimedia Center Gifu University Gifu 501-1193, Japan

⁴Gifu College of Nursing Hashima 501-6295, Japan

Published: 31/01/2008

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Abstract

In this paper, several constructions are presented for balanced incomplete block designs with nested rows and columns. Some of them refine theorems due to Hishida and Jimbo $[6]$ and Uddin and Morgan $[17]$ , and some of them give parameters which have not been available before.

Contents

Ars Combinatoria

Further Constructions for $B I B$ Designs With Nested Rows and Columns

Abstract

Information

Guidelines

CP Initiatives

Follow CP

Contents

Ars Combinatoria

Further Constructions for BIB Designs With Nested Rows and Columns

Abstract

Information

Guidelines

CP Initiatives

Follow CP

Further Constructions for $B I B$ Designs With Nested Rows and Columns