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Abstract
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In this note we establish a 1-to-1 correspondence between the class of generalized
quadrangles with ovoids and the class of balanced incomplete block designs that
possess a nontriangular local resolution system and have the appropriate parameters.
We present a nontriangular local resolution system for a difference family BIBD
construction of Sprott.
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Keywords
BIBD, balanced incomplete block design, combinatorial
design, block design, design, difference family,
generalized quadrangle, ovoid, spread
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Mathematical Subject Classification
Primary: 05B25
Secondary: 05B05
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Milestones
Received: 2 January 2023
Revised: 14 June 2023
Accepted: 13 July 2024
Published: 25 July 2024
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| © 2024 The Author(s), under
exclusive license to MSP (Mathematical Sciences
Publishers). |
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