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Combinatorial generalizations of generalized quadrangles of order (2, 2)

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Abstract

We study substructures of a projective space PG(n, 2) represented in terms of elementary combinatorics of finite sets, which generalize the Sylvester’s representation of the generalized quadrangle of order (2, 2). Their synthetic properties are established and automorphisms are characterized.

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Correspondence to Małgorzata Prażmowska.

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Communicated by Guglielmo Lunardon.

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Owsiejczuk, A., Prażmowska, M. Combinatorial generalizations of generalized quadrangles of order (2, 2). Des. Codes Cryptogr. 53, 45–57 (2009). https://doi.org/10.1007/s10623-009-9291-1

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  • DOI: https://doi.org/10.1007/s10623-009-9291-1

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