摘要

In this paper, for an odd prime and an integer n >= 3, a new family of p-ary sequences of period p(n)-1/2 with low correlation is constructed. The new family is constructed by shifts and additions of two decimated sequences of a p-ary m-sequence, and its family size is 2(p(n) - 1). The complete correlation distribution of this new family is derived. It is also shown that the family is optimal with respect to the parameter theta(rms), which denotes the root mean square of all nontrivial correlations. Compared with the known sequence families, our sequence family is new and has a larger family size, which is four times of its period.