On the Cross-Correlation of a Ternary $m$-sequence of Period $3^{4k}-1$ and Its Decimated Sequence by $\frac{(3^{2k}+1)^{2}}{20}$. (arXiv:1105.2786v1 [cs.IT])
By Yuhua Sun,Zilong Wang,Hui Li | published 2011-05-15 |
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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 $n=4k$.
... http://arxiv.org/abs/1105.2786
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