Steiner triple systems of order 19 associated with a certain type of projective plane of order 10

A. R. Prince

doi:10.1007/BF01848647

Steiner triple systems of order 19 associated with a certain type of projective plane of order 10

A. R. Prince

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Abstract

It is shown that the existence of a Steiner triple system of order 19 satisfying certain very restrictive conditions would lead to the completion of a large portion of the incidence matrix of a projective plane of order 10. © 1986 Akadémiai Kiadó.

Original language	English
Pages (from-to)	177-184
Number of pages	8
Journal	Periodica Mathematica Hungarica
Volume	17
Issue number	3
DOIs	https://doi.org/10.1007/BF01848647
Publication status	Published - Sep 1986

Keywords

AMS (MOS) subject classifications (1980): Primary 51E15, Secondary 05B25
Finite projective planes
Steiner triple systems

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10.1007/BF01848647

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title = "Steiner triple systems of order 19 associated with a certain type of projective plane of order 10",

abstract = "It is shown that the existence of a Steiner triple system of order 19 satisfying certain very restrictive conditions would lead to the completion of a large portion of the incidence matrix of a projective plane of order 10. {\textcopyright} 1986 Akad{\'e}miai Kiad{\'o}.",

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AB - It is shown that the existence of a Steiner triple system of order 19 satisfying certain very restrictive conditions would lead to the completion of a large portion of the incidence matrix of a projective plane of order 10. © 1986 Akadémiai Kiadó.

KW - AMS (MOS) subject classifications (1980): Primary 51E15, Secondary 05B25

KW - Finite projective planes

KW - Steiner triple systems

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EP - 184

JO - Periodica Mathematica Hungarica

JF - Periodica Mathematica Hungarica

SN - 0031-5303

IS - 3

ER -

Steiner triple systems of order 19 associated with a certain type of projective plane of order 10

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Keywords

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