Distribution Properties and 2-Adic Complexity of Clock-Controlled FCSR Sequences

Abstract

In this paper, the stop-and-go clock-controlled generator based on feedback with carry shift register (FCSR) is considered. The elementary statistical properties of its sequences are investigated. We prove that some d-decimation sequences are of ideal arithmetic correlation under certain conditions. Moreover, the upper and lower bounds of the 2-adic complexity of an output sequence are obtained when the control register sequence and the generating register sequence are both l-sequences.