On a particular class of minihypers and its applications II.: Improvements for q square

被引：17

作者：

Govaerts, P ^{[1
]}

Storme, L ^{[1
]}

机构：

[1] Univ Ghent, Dept Pure Math & Comp Algebra, B-9000 Ghent, Belgium

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2002年 / 97卷 / 02期

关键词：

blocking sets; minihypers; partial spreads;

D O I：

10.1006/jcta.2001.3219

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A particular class of minihypers was studied previously by the authors (in press, Des. Codes Cryptogr.). For q square, this paper improves the results of that work, under the assumption that no weights occur in the minihyper. Using the link between these minihypers and maximal partial s-spreads of PG(N, q), (s + 1) \ (N + 1), the findings on minihypers translate immediately into results on the extenclability of partial s-spreads with small positive deficiency. Other applications of this characterisation of minihypers are given by P. Govaerts et al. (in press, European J. Combin.). (C) 2001 Elsevier Science.

引用

页码：369 / 393

页数：25

共 16 条

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