Chen, Xinjiao A family of nonbinary sequences with optimal correlation property. (English) Zbl 1356.94046 Ital. J. Pure Appl. Math. 35, 637-648 (2015). Summary: 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 T. Helleseth and G. Gong [IEEE Trans. Inf. Theory 48, No. 11, 2868–2872 (2002; Zbl 1062.94033)]. 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. MSC: 94A55 Shift register sequences and sequences over finite alphabets in information and communication theory 11T71 Algebraic coding theory; cryptography (number-theoretic aspects) Keywords:\(p\)-ary sequences; correlations; autocorrelations; Welch bound Citations:Zbl 1062.94033 PDFBibTeX XMLCite \textit{X. Chen}, Ital. J. Pure Appl. Math. 35, 637--648 (2015; Zbl 1356.94046) Full Text: Link