On lower bounds on the size of designs in compact symmetric spaces of rank 1
type: Item
instance of: scholarly article
title: On lower bounds on the size of designs in compact symmetric spaces of rank 1
zbMATH Open document ID: 0871.05010
author: Svetla Nikova
author: Peter Boyvalenkov
published in: Archiv der Mathematik
publication date: 1997-09-24T00:00:00Z
review text: The concept of \(t\)-designs in compact symmetric spaces of rank 1 is a generalization of the theory of classical \(t\)-designs. We obtain new lower bounds on the cardinality of designs in projective compact symmetric spaces of rank 1. With one exception our bounds are the first improvements of the classical bounds by more than one. We use the linear programming technique and follow the approach we have proposed for spherical codes and designs. Some examples are shown and compared with the classical bounds.
Mathematics Subject Classification ID: 05B30
zbMATH DE Number: 1026250
zbMATH Keywords: \(t\)-designs
zbMATH Keywords: compact symmetric spaces
zbMATH Keywords: bounds
zbMATH Keywords: linear programming
describes a project that uses: Cayley
MaRDI profile type: Publication
full work available at URL: s000130050035
OpenAlex ID: W2027456506
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DOI: 10.1007/S000130050035
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description: scientific article; zbMATH DE number 1026250