Three new classes of spreading sequence sets with low correlation and PAPR

Abstract

Spreading sequences have recently received a lot of attention, as some of these sequences are used to design spreading sequence sets with low correlation and low peak-to-average power ratio (PAPR for short) and which have very important applications in communication systems. It was recently reported that a small amount of work on constructing binary spreading sequence sets with low correlation and low PAPR has been done. However, till now only one work on constructing p-ary spreading sequence sets with low correlation and low PAPR for odd prime p has been done by using special functions in Liu et al. (2023) [11], and it is, in general, hard to design spreading sequence sets with low correlation and low PAPR. In this paper, we investigate this idea further by using some quadratic functions over finite fields, thereby obtain three classes of p-ary spreading sequence sets, and explicitly determine their parameters. The parameters of these p-ary spreading sequence sets are new and flexible. Furthermore, the results of this paper show that these obtained p-ary spreading sequence sets have low correlation and PAPR.