Bounds on the discrepancy of linear recurring sequences over Galois rings
Anton R. Vasin · Discrete Mathematics and Applications · 2020
Abstract We study the discrepancy of linear recurring sequences over Galois rings. By means of an estimate of an exponential sum some nontrivial bounds on the discrepancy are derived. It is shown that these bounds are asymptotically not worse than known estimates for maximal period linear recurring sequences over prime fields.