A Generalization of the Family of p-ary Decimated Sequences With Low Correlation

초록

Let p be a prime and n a positive integer. Let e vertical bar p(n) - 1 and N = p(n) - 1/e. In this paper, we construct a family S of e(2) N p-ary sequences, each member of S has period N and the magnitudes of correlations of members of S are upper bounded by 2 root p(n) = 2 root eN + 1.

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