具有六值互相关函数的$p$元序列：一种新的Niho型抽取
$p$-ary sequences with six-valued cross-correlation function: a new decimation of Niho type
摘要：
对于奇素数$p$和$n=2m$，给出了Niho型$m$ -序列的一种新的抽取$d=\frac{(p^{m}-1)^{2}}{2}+1$.利用推广的Niho定理，我们证明了周期为$p^{n}-1$的$p$元$m$序列与其被上述$d$抽取后的序列之间的互相关函数至多为六值，并且我们很容易知道互相关的大小是由$4\sqrt{p^{n}}-1$限定的上界.
英文摘要：
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 $4\sqrt{p^{n}}-1$.
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。
