E. P. Davletyarova, A. A. Zhukova, A. A. Yudin, “Estimating the cardinality of a difference subset of the discrete multi-torus <nobr>$\mathbb Z^n_3$</nobr>”, Fundam. Prikl. Mat., 2010, Volume 16, Issue 6,Pages <nobr>23

Estimating the cardinality of a difference subset of the discrete multi-torus $\mathbb Z^n_3$

E. P. Davletyarova^a, A. A. Zhukova^a, A. A. Yudin

^a Vladimir State Humanitarian University

Abstract: In this paper, we obtain an upper estimate for the cardinality of a subset of the discrete torus over a field of three elements of which any four points do not form a nonsingular parallelogram.

UDC: 511.29