A Generalization of the Family of $p$-ary Decimated Sequences With Low Correlation
Dae San Kim, Hi-joon Chae, Hong‐Yeop Song · IEEE Transactions on Information Theory · 2011
Let$p$be a prime and$n$a positive integer. Let$e\vert p^{n}-1$and$N={{p^{n}-1}\over{e}}$. 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$2\sqrt{p^{n}}=2\sqrt{eN+1}$.