Some Results on Cross-Correlation Distribution Between a <inline-formula> <tex-math notation='TeX'>(p) </tex-math></inline-formula>-Ary <inline-formula> <tex-math notation='TeX'>(m) </tex-math></inline-formula>-Sequence and Its Decimated Sequences

Xia Y.; Li C.; Zeng X.; Helleseth T.

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Some Results on Cross-Correlation Distribution Between a (p) -Ary (m) -Sequence and Its Decimated Sequences

机译： （p） -Ary （m） -序列及其抽取序列

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摘要

For an odd prime and two positive integers , such that is odd, let be a positive integer satisfying . In this paper, the cross-correlation between a -ary -sequence and its -decimated sequences is investigated, and the cross correlation distribution is completely determined. The relationship between the decimations considered in this paper and some known ones is also studied. This paper generalizes some previous results, and also gives new decimations, which lead to low cross correlation.

机译：对于一个奇数质数和两个正整数（例如奇数），令其为满足的正整数。本文研究了一元序列与其抽取序列之间的互相关，并确定了互相关分布。还研究了本文所考虑的抽取与一些已知抽取之间的关系。本文总结了一些先前的结果，并给出了新的抽取，这导致了较低的互相关。

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来源
《Information Theory, IEEE Transactions on》 |2014年第11期|7368-7381|共14页
作者
Xia Y.; Li C.; Zeng X.; Helleseth T.;
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作者单位

Department of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Correlation; Educational institutions; Equations; Frequency modulation; Laboratories; Mathematical model; (m) -sequence; cross-correlation distribution; decimated sequence; exponential sum; quadratic form;

机译：相关性;教育机构;等式;频率调制;实验室;数学模型;（m）序列;互相关分布;抽取序列;指数和;二次形式;

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Some Results on Cross-Correlation Distribution Between a (p) -Ary (m) -Sequence and Its Decimated Sequences

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