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

19 Citations (Scopus)

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

Cite this

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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",

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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.

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M3 - Article

AN - SCOPUS:0018752024

SN - 0165-5817

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JO - Philips Journal of Research

JF - Philips Journal of Research

IS - 3-4

ER -

HEMISYSTEMS, ORTHOGONAL CONFIGURATIONS, AND DISSIPATIVE CONFERENCE MATRICES.

Abstract

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