Affine vector space partitions

被引：0
作者：
Bamberg, John [1 ]
Filmus, Yuval [2 ,3 ]
Ihringer, Ferdinand [4 ]
Kurz, Sascha [5 ]
机构：
[1] Univ Western Australia, Crawley, Australia
[2] Techn Israel Inst Technol, Henry & Marilyn Taub Fac Comp Sci, Haifa, Israel
[3] Techn Israel Inst Technol, Fac Math, Haifa, Israel
[4] Univ Ghent, Ghent, Belgium
[5] Univ Bayreuth, Bayreuth, Germany
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2025年 / 93卷 / 02期
基金：
比利时弗兰德研究基金会;
关键词：
Finite geometry; Vector space partitions; Spreads; Klein quadric; Fano plane; Hitting formulas; FINITE; SPREADS;
D O I：
10.1007/s10623-023-01263-z
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
An affine vector space partition of AG(n, q) is a set of proper affine subspaces that partitions the set of points. Here we determine minimum sizes and enumerate equivalence classes of affine vector space partitions for small parameters. We also give parametric constructions for arbitrary field sizes.
引用
收藏
页码：331 / 357
页数：27
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