A family of balanced incomplete-block designs with repeated blocks on which general linear groups act

Rosemary Anne Bailey; Peter Jephson Cameron

A family of balanced incomplete-block designs with repeated blocks on which general linear groups act

Rosemary Anne Bailey, Peter Jephson Cameron

Research output: Contribution to journal › Article › peer-review

Abstract

We give two constructions of a balanced incomplete-block design discovered by van Lint: the design has parameters (13,39,15,5,5), and has repeated blocks and an automorphism group of order 240. One of these methods can be generalized to produce a large class of designs with the properties of the title.

Original language	English
Pages (from-to)	143-150
Number of pages	8
Journal	Journal of Combinatorial Designs
Volume	15
Publication status	Published - 2007

Keywords

block designs
repeated blocks
general linear groups

Cite this

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title = "A family of balanced incomplete-block designs with repeated blocks on which general linear groups act",

abstract = "We give two constructions of a balanced incomplete-block design discovered by van Lint: the design has parameters (13,39,15,5,5), and has repeated blocks and an automorphism group of order 240. One of these methods can be generalized to produce a large class of designs with the properties of the title.",

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journal = "Journal of Combinatorial Designs",

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AU - Bailey, Rosemary Anne

AU - Cameron, Peter Jephson

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AB - We give two constructions of a balanced incomplete-block design discovered by van Lint: the design has parameters (13,39,15,5,5), and has repeated blocks and an automorphism group of order 240. One of these methods can be generalized to produce a large class of designs with the properties of the title.

KW - block designs

KW - repeated blocks

KW - general linear groups

M3 - Article

SN - 1063-8539

VL - 15

SP - 143

EP - 150

JO - Journal of Combinatorial Designs

JF - Journal of Combinatorial Designs

ER -

A family of balanced incomplete-block designs with repeated blocks on which general linear groups act

Abstract

Keywords

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