Geodesic
On the size of Kakeya sets in finite vector spaces
The electronic journal of combinatorics, Tome 20 (2013) no. 3
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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.
DOI : 10.37236/3190
Classification : 11T30, 11T06
Mots-clés : Kakeya set, finite vector space, finite fields, value set 
@article{10_37236_3190,
     author = {Gohar Kyureghyan and Peter M\"uller and Qi Wang},
     title = {On the size of {Kakeya} sets in finite vector spaces},
     journal = {The electronic journal of combinatorics},
     year = {2013},
     volume = {20},
     number = {3},
     doi = {10.37236/3190},
     zbl = {1295.11138},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/3190/}
}
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Gohar Kyureghyan; Peter Müller; Qi Wang. On the size of Kakeya sets in finite vector spaces. The electronic journal of combinatorics, Tome 20 (2013) no. 3. doi: 10.37236/3190

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