New p-ary sequence family with low correlation and large linear span

In this paper, for an odd prime p and positive integers n, m, and e such that n = me, a new family S{\mathcal{S}} of p-ary sequences of period p ⁿ − 1 with low correlation and large linear span is constructed. It is shown that S{\mathcal{S}} has maximum correlation 1+p^(n+2e)/2]{1+p^{n+2e\over 2}}, family size p ⁿ , and maximal linear span ((m+3)n)/2]{{(m+3)n\over 2}}. When m is even, the proposed family S{\mathcal{S}} contains Tang, Udaya, and Fan’s construction as a subset. Furthermore, when n is even and e=1, S{e=1, \mathcal{S}} has the same correlation and family size, but larger linear span compared with the construction by Seo, Kim, No, and Shin.