周期为PDMATHAAB的三元$m$ -序列及其PDMATHAAC抽取序列的互相关
On the Cross-Correlation of a Ternary $m$-sequence of Period $3^{4k}-1$ and Its Decimated Sequence by $\frac{(3^{2k}+1)^{2}}{20}$
摘要：
设$d=\frac{(3^{2k}+1)^{2}}{20}$，其中$k$是奇数。我们证明了周期为$3^{4k}-1$的三元$m$序列$\{s_{t}\}$及其抽取序列$\{s_{dt}\}$的互相关值的大小上界为$5\sqrt{3^{n}}+1$，其中$n=4k$。
英文摘要：
Let $d=\frac{(3^{2k}+1)^{2}}{20}$, where $k$ is an odd integer. We show that the magnitude of the cross-correlation values of a ternary $m$-sequence $\{s_{t}\}$ of period $3^{4k}-1$ and its decimated sequence $\{s_{dt}\}$ is upper bounded by $5\sqrt{3^{n}}+1$, where $n=4k$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
