Properties and crosscorrelation of decimated Sidelnikov sequences

In this paper, we show that the d-decimation of a Sidelnikov sequence is the d-multiple of another Sidelnikov sequence and vice versa. Also, we calculate the crosscorrelation magnitude between d- and d′-decimations of a Sidelnikov sequence of period q − 1 to be upper bounded by (d+d′ − 1) √q+3.