Building symmetric designs with building sets
type: Item
instance of: scholarly article
title: Building symmetric designs with building sets
zbMATH Open document ID: 0935.05008
DOI: 10.1023/A:1026465125305
published in: Designs, Codes and Cryptography
publication date: 2000-01-24T00:00:00Z
review text: In this extremely interesting paper, the author constructs seven infinite families of symmetric designs in a unified way (some of which he had discovered in earlier papers by different means). His key technique consists of exploiting the recent theory of building blocks introduced by Davis and Jedwab in their landmark paper ``A unifying construction for difference sets'' [J. Comb. Theory, Ser. A 80, No. 1, 13-78 (1997; Zbl 0884.05019)] for the construction of difference sets, in combination with the use of balanced generalized weighing matrices. This general approach clearly is a major advance in design theory.
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B10
Mathematics Subject Classification ID: 05B20
zbMATH DE Number: 1392720
zbMATH Keywords: symmetric designs
zbMATH Keywords: building blocks
zbMATH Keywords: difference sets
zbMATH Keywords: balanced generalized weighing matrices
author: Yury J. Ionin
reviewed by: Dieter Jungnickel
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1392720