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arXiv · 1105.2783

$p$-ary sequences with six-valued cross-correlation function: a new decimation of Niho type

Yuhua Sun·Hui Li·Zilong Wang·Tongjiang Yan
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Abstract

For an odd prime $p$ and $n=2m$, a new decimation $d=\frac{(p^{m}-1)^{2}}{2}+1$ of Niho type of $m$-sequences is presented. Using generalized Niho's Theorem, we show that the cross-correlation function between a $p$-ary $m$-sequence of period $p^{n}-1$ and its decimated sequence by the above $d$ is at most six-valued and we can easily know that the magnitude of the cross correlation is upper bounded by $4\sqrt{p^{n}}-1$.

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Yuhua Sun, Hui Li, Zilong Wang, Tongjiang Yan. 2011-05-13. $p$-ary sequences with six-valued cross-correlation function: a new decimation of Niho type. https://arxiv.org/abs/1105.2783

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