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

Year: 2011
Type: preprint
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 $4\sqrt{p^{n}}-1$.
DOI: 10.48550/arxiv.1105.2783
Language: English
Open Access status: green
OpenAlex ID: W1928136704
Cites: 5
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Related to: 10