Controlling the shape of generating matrices in global function field constructions of digital sequences

Abstract

Motivated by computational as well as theoretical considerations we show how the shape and density of the generating matrices of two optimal constructions of (t, s)and (u, e, s)-sequences (viz., the Xing-Niederreiter and Hofer-Niederreiter sequences) can be controlled by a careful choice of various parameters. We also present some experimental data to support our assertions and point out open problems. MSC2010: 11K31, 11K38.