New Construction of p-ary Sequence Family With Large Linear Span

In this paper, we propose a method to construct Sequence family S-r = {tr(1)(m)([tr(m)(n)(alpha(t)) + tr(m)(n)(b alpha(dt))](r)) | b is an element of F-pn, 0 <= t < p(n) - 1} with large linear span from a sequence family S-1, where gcd(r,p(m) - 1) = 1. Let T = (p(n) - 1)/(p(m) - 1). If dT equivalent to T mod p(n) - 1, the correlation distributions of families S, are the same. Two examples of decimation factor d satisfying the condition dT equivalent to T mod p(n) - 1 are given and the linear span of the ternary sequences in S-r with d = 2p(m) - 1 is derived for some cases.