A large family of pseudorandom sequences of $k$ symbols with length $pq$
Volume 181 / 2017
Acta Arithmetica 181 (2017), 1-26
MSC: Primary 11K45; Secondary 11B50, 94A55, 94A60.
DOI: 10.4064/aa8452-5-2017
Published online: 9 October 2017
Abstract
In a series of papers Mauduit and Sárközy introduced and studied pseudorandom measures of finite sequences of $k$ symbols. In this paper we construct a large family of pseudorandom sequences of $k$ symbols with length $pq$ by using generalized cyclotomic classes, and study the properties of these sequences.