Properties and Crosscorrelation of Decimated Sidelnikov Sequences
Young-Tae KIM, Minkyu Song, Dae San Kim, Hong‐Yeop Song · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2014
In this paper, we show that if the d-decimation of a (q-1)-ary Sidelnikov sequence of period q-1=pm-1 is the d-multiple of the same Sidelnikov sequence, then d must be a power of a prime p. Also, we calculate the crosscorrelation magnitude between some constant multiples of d- and d'-decimations of a Sidelnikov sequence of period q-1 to be upper bounded by (d+d'-1)√q+3.