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

摘要

Let $p$ be a prime and $n$ a positive integer. Let $evert p^{n}-1$ 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 $2sqrt{p^{n}}=2sqrt{eN+1}$ .