HEMISYSTEMS, ORTHOGONAL CONFIGURATIONS, AND DISSIPATIVE CONFERENCE MATRICES.

P. J. Cameron; P. Delsarte; J. M. Goethals

HEMISYSTEMS, ORTHOGONAL CONFIGURATIONS, AND DISSIPATIVE CONFERENCE MATRICES.

P. J. Cameron^*
, P. Delsarte
, J. M. Goethals

^*Corresponding author for this work

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

Abstract

It is proved that, in any generalized quadrangle with parameters (q,q**2), the graph associated with a hemisystem is strongly regular. Orthogonal configurations over a finte group are defined, and their main properties are studied. Optimal dissipative conference matrices of order 4k minus 1 are characterized.

Original language	English
Pages (from-to)	147-162
Number of pages	16
Journal	Philips Journal of Research
Volume	34
Issue number	3-4
Publication status	Published - 1 Dec 1979

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@article{56ca0cc355424bc69846208ed6cdddaa,

title = "HEMISYSTEMS, ORTHOGONAL CONFIGURATIONS, AND DISSIPATIVE CONFERENCE MATRICES.",

abstract = "It is proved that, in any generalized quadrangle with parameters (q,q**2), the graph associated with a hemisystem is strongly regular. Orthogonal configurations over a finte group are defined, and their main properties are studied. Optimal dissipative conference matrices of order 4k minus 1 are characterized.",

author = "Cameron, \{P. J.\} and P. Delsarte and Goethals, \{J. M.\}",

year = "1979",

month = dec,

day = "1",

language = "English",

volume = "34",

pages = "147--162",

journal = "Philips Journal of Research",

issn = "0165-5817",

publisher = "Philips Research Laboratories",

number = "3-4",

}

TY - JOUR

T1 - HEMISYSTEMS, ORTHOGONAL CONFIGURATIONS, AND DISSIPATIVE CONFERENCE MATRICES.

AU - Cameron, P. J.

AU - Delsarte, P.

AU - Goethals, J. M.

PY - 1979/12/1

Y1 - 1979/12/1

N2 - It is proved that, in any generalized quadrangle with parameters (q,q**2), the graph associated with a hemisystem is strongly regular. Orthogonal configurations over a finte group are defined, and their main properties are studied. Optimal dissipative conference matrices of order 4k minus 1 are characterized.

AB - It is proved that, in any generalized quadrangle with parameters (q,q**2), the graph associated with a hemisystem is strongly regular. Orthogonal configurations over a finte group are defined, and their main properties are studied. Optimal dissipative conference matrices of order 4k minus 1 are characterized.

UR - https://www.scopus.com/pages/publications/0018752024

M3 - Article

AN - SCOPUS:0018752024

SN - 0165-5817

VL - 34

SP - 147

EP - 162

JO - Philips Journal of Research

JF - Philips Journal of Research

IS - 3-4

ER -

HEMISYSTEMS, ORTHOGONAL CONFIGURATIONS, AND DISSIPATIVE CONFERENCE MATRICES.

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