Pseudocyclic 3-class association schemes on 28 points
type: Item
instance of: scholarly article
title: Pseudocyclic 3-class association schemes on 28 points
zbMATH Open document ID: 0559.05019
DOI: 10.1016/0012-365X(84)90082-7
published in: Discrete Mathematics
publication date: 1984-01-01T00:00:00Z
review text: In [Proc. Conf. algebr. Aspects Comb., Semin. Toronto 1975, 123-155 (1975; Zbl 0326.05023)] \textit{R. Mathon} described a pseudocyclic symmetric 3-class association scheme on 28 points. In this paper we will first present a general method (a 'switching' construction) to construct new symmetric 3-class association schemes from old ones. This method is then applied to the scheme above and yields another scheme with the same parameters. A proof is sketched that these two schemes are the only pseudocyclic symmetric 3-class association schemes on 28 points. Also, a useful reformulation is given of a known existence condition for general pseudocyclic 3-class association schemes.
Mathematics Subject Classification ID: 05B30
zbMATH DE Number: 3891389
zbMATH Keywords: switching construction
zbMATH Keywords: pseudocyclic symmetric 3-class association scheme on 28 points
author: Henk D. L. Hollmann
MaRDI profile type: Publication
cites work: Q5707657
cites work: Q5592263
cites work: XOR-based visual cryptography schemes
cites work: Q4090352
cites work: A New Family of Partially Balanced Incomplete Block Designs with Some Latin Square Design Properties
description: scientific article; zbMATH DE number 3891389