On the size of Kakeya sets in finite vector spaces (Q396866)

From MaRDI portal





scientific article; zbMATH DE number 6330308
Language Label Description Also known as
English
On the size of Kakeya sets in finite vector spaces
scientific article; zbMATH DE number 6330308

    Statements

    On the size of Kakeya sets in finite vector spaces (English)
    0 references
    0 references
    0 references
    0 references
    14 August 2014
    0 references
    Summary: For a finite field \(\mathbb{F}_q\), a Kakeya set \(K\) is a subset of \(\mathbb{F}_q^n\) that contains a line in every direction. This paper derives new upper bounds on the minimum size of Kakeya sets when \(q\) is even.
    0 references
    Kakeya set
    0 references
    finite vector space
    0 references
    finite fields
    0 references
    value set
    0 references

    Identifiers