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- aggregation classification "A1".
- aggregation creator B449105.
- aggregation creator person.
- aggregation creator person.
- aggregation creator person.
- aggregation date "2009".
- aggregation format "application/pdf".
- aggregation hasFormat 681347.bibtex.
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- aggregation isPartOf urn:issn:0925-1022.
- aggregation language "eng".
- aggregation subject "Mathematics and Statistics".
- aggregation title "Tight sets, weighted m-covers, weighted m-ovoids, and minihypers".
- aggregation abstract "Minihypers are substructures of projective spaces introduced to study linear codes meeting the Griesmer bound. Recently, many results in finite geometry were obtained by applying characterization results on minihypers (De Beule et al. 16:342-349, 2008; Govaerts and Storme 4:279-286, 2004; Govaerts et al. 28:659-672, 2002). In this paper, using characterization results on certain minihypers, we present new results on tight sets in classical finite polar spaces and weighted m-covers, and on weighted m-ovoids of classical finite generalized quadrangles. The link with minihypers gives us characterization results of i-tight sets in terms of generators and Baer subgeometries contained in the Hermitian and symplectic polar spaces, and in terms of generators for the quadratic polar spaces. We also present extendability results on partial weighted m-ovoids and partial weighted m-covers, having small deficiency, to weighted m-covers and weighted m-ovoids of classical finite generalized quadrangles. As a particular application, we prove in an alternative way the extendability of 53-, 54-, and 55-caps of PG(5,3), contained in a non-singular elliptic quadric Q(-)(5,3), to 56-caps contained in this elliptic quadric Q(-)(5,3).".
- aggregation authorList BK783224.
- aggregation endPage "201".
- aggregation issue "2".
- aggregation startPage "187".
- aggregation volume "50".
- aggregation aggregates 681348.
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- aggregation similarTo s10623-008-9223-5.
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