%0 Journal Article %T Hypersurfaces achieving the Homma-Kim bound %A Andrea Luigi Tironi %J Mathematics %D 2014 %I arXiv %X Let $X$ be a hypersurface in $\mathbb{P}^N$ with $N\geq 3$ defined over a finite field. The main result of this note is the classification, up to projective equivalence, of hypersurfaces $X$ as above without a linear component when the number of their rational points achieves the Homma-Kim bound. %U http://arxiv.org/abs/1410.7320v2