Size of local finite field Kakeya sets

2021/08/15 by Ganesan, Ghurumuruhan
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2108.07652

Abstract

Let \mathbbF be a finite field consisting of q elements and let n ≥ 1 be an integer. In this paper, we study the size of local Kakeya sets with respect to subsets of \mathbbFⁿ and obtain upper and lower bounds for the minimum size of a (local) Kakeya set with respect to an arbitrary set \mathcal T ⊆ \mathbbFⁿ.

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