Pure partial planes of order 6 with 25 lines

Alan R. Prince

doi:10.1007/s10623-009-9279-x

Pure partial planes of order 6 with 25 lines

Alan R. Prince

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

1 Citation (Scopus)

Abstract

We construct two pure partial planes of order 6 with 25 lines, which extend the dual of the linear space PG(3,2). One of these is of particular interest since its dual is a pseudo-complement of a triangle in a projective plane of order 6. © 2009 Springer Science+Business Media, LLC.

Original language	English
Pages (from-to)	243-247
Number of pages	5
Journal	Designs, Codes and Cryptography
Volume	52
Issue number	2
DOIs	https://doi.org/10.1007/s10623-009-9279-x
Publication status	Published - Aug 2009

Keywords

Latin squares
Linear spaces
Pseudo-complement of triangle
Pure partial planes

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10.1007/s10623-009-9279-x

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abstract = "We construct two pure partial planes of order 6 with 25 lines, which extend the dual of the linear space PG(3,2). One of these is of particular interest since its dual is a pseudo-complement of a triangle in a projective plane of order 6. {\textcopyright} 2009 Springer Science+Business Media, LLC.",

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AB - We construct two pure partial planes of order 6 with 25 lines, which extend the dual of the linear space PG(3,2). One of these is of particular interest since its dual is a pseudo-complement of a triangle in a projective plane of order 6. © 2009 Springer Science+Business Media, LLC.

KW - Latin squares

KW - Linear spaces

KW - Pseudo-complement of triangle

KW - Pure partial planes

UR - https://www.scopus.com/pages/publications/63349101230

U2 - 10.1007/s10623-009-9279-x

DO - 10.1007/s10623-009-9279-x

M3 - Article

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VL - 52

SP - 243

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JO - Designs, Codes and Cryptography

JF - Designs, Codes and Cryptography

IS - 2

ER -

Pure partial planes of order 6 with 25 lines

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