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Designs arising from Buekenhout‐Metz unitals
Author(s) -
Aguglia A.
Publication year - 2003
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.10010
Subject(s) - affine transformation , unital , mathematics , combinatorics , affine plane (incidence geometry) , plane (geometry) , point (geometry) , affine space , pure mathematics , algebra over a field , geometry
An affine 2–( q 3 , q 2 , q + 1) design is constructed from a Buekenhout‐Metz unital of the affine plane AG(2, q 2 ), with q > 2. It is also shown that such a design is isomorphic to the point‐plane design of the affine space AG(3, q ). © 2003 Wiley Periodicals, Inc. J Combin Designs 11: 79–88, 2003; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/jcd.10010
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