关于辛和Hermitian极空间的大偏卵形

IF 0.5 4区数学 Q3 MATHEMATICS Journal of Combinatorial Designs Pub Date : 2022-11-06 DOI:10.1002/jcd.21864

Michela Ceria, Jan De Beule, Francesco Pavese, Valentino Smaldore

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引用次数: 0

摘要

本文给出辛极空间W的最大偏卵形大小的构造下界（3，q）$｛\mathscr｛W｝｝（3，q）$，q$q$奇数平方，q≢0（mod 3）$q\not\equiv 0（\mathrm{mod}3)$，W（5，q）$｛\mathscr｛W｝｝Hermitian极空间的（5，q）$和ℋ （4，q 2）$｛\rm｝｛\mathcal H｝｝（4，｛q｝^｛2｝）$，q$q$偶数或q$q$奇平方，q≢0（mod 3）$q\not\equiv 0（\mathrm{mod}3)$，ℋ （6，q 2）$｛\rm｝｛\mathcal H｝｝（6，｛q｝^｛2｝）$，ℋ （8，q 2）$｛\rm｝｛\mathcal H｝｝｝｝（8，｛q｝^｛2｝）$。

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On large partial ovoids of symplectic and Hermitian polar spaces

In this paper we provide constructive lower bounds on the sizes of the largest partial ovoids of the symplectic polar spaces $W (3, q)$ , $q$ odd square, $q ≢ 0 (\mod 3)$ , $W (5, q)$ and of the Hermitian polar spaces $ℋ (4, q^{2})$ , $q$ even or $q$ odd square, $q ≢ 0 (\mod 3)$ , $ℋ (6, q^{2})$ , $ℋ (8, q^{2})$ .

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来源期刊

Journal of Combinatorial Designs 数学-数学

CiteScore

1.60

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Combinatorial Designs is an international journal devoted to the timely publication of the most influential papers in the area of combinatorial design theory. All topics in design theory, and in which design theory has important applications, are covered, including: block designs, t-designs, pairwise balanced designs and group divisible designs Latin squares, quasigroups, and related algebras computational methods in design theory construction methods applications in computer science, experimental design theory, and coding theory graph decompositions, factorizations, and design-theoretic techniques in graph theory and extremal combinatorics finite geometry and its relation with design theory. algebraic aspects of design theory. Researchers and scientists can depend on the Journal of Combinatorial Designs for the most recent developments in this rapidly growing field, and to provide a forum for both theoretical research and applications. All papers appearing in the Journal of Combinatorial Designs are carefully peer refereed.