Some Results on Cross-Correlation Distribution Between a \(p\) -Ary \(m\) -Sequence and Its Decimated Sequences
Some Results on Cross-Correlation Distribution Between a \(p\) -Ary \(m\) -Sequence and Its Decimated Sequences
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DOI：
10.1109/tit.2014.2350775
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发表时间：
2014-08
影响因子：
2.5
通讯作者：
Yongbo Xia;Chunlei Li;Xiangyong Zeng;T. Helleseth
中科院分区：
文献类型：
--
作者：
Yongbo Xia;Chunlei Li;Xiangyong Zeng;T. Helleseth
对于奇数素数p和两个正整数m， k，使m/gcd (k,m)≥3为奇数，设d为正整数，满足d(pk+1)=2（mod pm-1）。本文研究了p元m序列与其d抽取序列之间的相互关系，并完全确定了相互关系的分布。本文还研究了所考虑的十进制数与一些已知十进制数之间的关系。本文对以往的一些结果进行了推广，并给出了新的抽取方法，从而降低了相互关系。
For an odd prime p and two positive integers m, k such that m/gcd (k,m) ≥ 3 is odd, let d be a positive integer satisfying d(pk+1)=2(mod pm-1). In this paper, the cross-correlation between a p-ary m-sequence and its d-decimated sequences is investigated, and the cross correlation distribution is completely determined. The relationship between the decimations d 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.