On the size of Kakeya sets in finite vector spaces

被引:0
|
作者
Kyureghyan, Gohar [1 ]
Mueller, Peter [2 ]
Wang, Qi [3 ]
机构
[1] Univ Magdeburg, Inst Algebra & Geometry, D-39106 Magdeburg, Germany
[2] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany
[3] Univ Magdeburg, Inst Algebra & Geometry, D-39106 Magdeburg, Germany
来源
ELECTRONIC JOURNAL OF COMBINATORICS | 2013年 / 20卷 / 03期
关键词
Kakeya set; finite vector space; Gold power function; FIELDS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For a finite field F-q, a Kakeya set K is a subset of F-q(n) that contains a line in every direction. This paper derives new upper bounds on the minimum size of Kakeya sets when q is even.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] Kakeya-type sets in finite vector spaces
    Kopparty, Swastik
    Lev, Vsevolod F.
    Saraf, Shubhangi
    Sudan, Madhu
    [J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2011, 34 (03) : 337 - 355
  • [2] Kakeya-type sets in finite vector spaces
    Swastik Kopparty
    Vsevolod F. Lev
    Shubhangi Saraf
    Madhu Sudan
    [J]. Journal of Algebraic Combinatorics, 2011, 34 : 337 - 355
  • [3] Kakeya sets in finite affine spaces
    Maschietti, Antonio
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2011, 118 (01) : 228 - 230
  • [4] ON THE SIZE OF KAKEYA SETS IN FINITE FIELDS
    Dvir, Zeev
    [J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 22 (04) : 1093 - 1097
  • [5] AN IMPROVED LOWER BOUND ON THE SIZE OF KAKEYA SETS OVER FINITE FIELDS
    Saraf, Shubhangi
    Sudan, Madhu
    [J]. ANALYSIS & PDE, 2008, 1 (03): : 375 - 379
  • [6] Conical Kakeya and Nikodym sets in finite fields
    Warren, Audie
    Winterhof, Arne
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2019, 59 : 185 - 198
  • [7] On Distance Sets and Product Sets in Vector Spaces over Finite Rings
    Do Duy Hieu
    Le Anh Vinh
    [J]. MICHIGAN MATHEMATICAL JOURNAL, 2013, 62 (04) : 779 - 792
  • [8] Salem sets in vector spaces over finite fields
    Chen, Changhao
    [J]. ARKIV FOR MATEMATIK, 2018, 56 (01): : 45 - 52
  • [9] Explicit universal sampling sets in finite vector spaces
    Morotti, Lucia
    [J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2017, 43 (02) : 354 - 369
  • [10] Tight wavelet frame sets in finite vector spaces
    Iosevich, Alex
    Lai, Chun-Kit
    Mayeli, Azita
    [J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2019, 46 (01) : 192 - 205