Cao, Yameng; Li, Jiao; Li, Guoquan On sumsets and translates of vector subspaces over finite fields. (Chinese. English summary) Zbl 1413.11018 J. Shandong Univ., Nat. Sci. 53, No. 4, 7-10 (2018). Summary: Let \(\mathcal{F}_p^n\) be a finite field model and \(B \subset \mathcal{F}_p^n\), it is shown that there exist a vector subspace \(V\) and a constant \(D > 0\) such that dim \(V \geq D\) and \(A + B\) contains a translate of the subspace \(V\). MSC: 11B13 Additive bases, including sumsets 51D20 Combinatorial geometries and geometric closure systems Keywords:sumset; dual group; Bohr set PDFBibTeX XMLCite \textit{Y. Cao} et al., J. Shandong Univ., Nat. Sci. 53, No. 4, 7--10 (2018; Zbl 1413.11018) Full Text: DOI