E. P. Davletyarova, A. A. Zhukova, A. A. Yudin, “On maximal set without parallelograms”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, Issue 8(74),Pages <nobr>5

This article is cited in 1 paper

Mathematics

On maximal set without parallelograms

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

Vladimir State Humanitarian University, Vladimir, 600024, Russia

Abstract: We find upper and lower bounds for the cardinality of the subset in a discrete torus over the field of three elements such that no four different points of it form a nonsingular parallelogram.

Keywords: finite fields, discrete torus, trigonometric sums.

UDC: 511.29

Received: 08.07.2009
Revised: 08.07.2009