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Constructions of intriguing sets of polar spaces from field reduction and derivation

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Abstract

The concepts of a tight set of points and an m-ovoid of a generalised quadrangle were unified recently by Bamberg, Law and Penttila under the title of intriguing sets. This unification was subsequently extended to polar spaces of arbitrary rank. The first part of this paper deals with a method of constructing intriguing sets of one polar space from those of another via field reduction. In the second part of this paper, we generalise an ovoid derivation of Payne and Thas to a derivation of intriguing sets.

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Authors and Affiliations

  1. School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia

    Shane Kelly

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  1. Shane Kelly
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Correspondence to Shane Kelly.

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Communicated by S. Ball.

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Kelly, S. Constructions of intriguing sets of polar spaces from field reduction and derivation. Des Codes Crypt 43, 1–8 (2007). https://doi.org/10.1007/s10623-007-9046-9

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  • DOI: https://doi.org/10.1007/s10623-007-9046-9

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