A FAMILY OF NONBINARY SEQUENCES WITH OPTIMAL CORRELATION PROPERTY

Abstract

In this paper, we first present a family of p-ary sequences with ideal two-level autocorrelation property, which could be regarded as a generalization of the well-known nonbinary sequences introduced by Helleseth and Gong.  Utilizing the proposed sequences and m-sequences, we later construct a family of p-ary sequences of which the correlation property is optimal in terms of the Welch lower bound.