Some new classes of quaternary sequences with low autocorrelation property via two binary cyclotomic sequences

Some new classes of quaternary sequences with low autocorrelation property via two binary cyclotomic sequences
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DOI:
10.1007/s12190-022-01765-4
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发表时间:
2022-06
影响因子:
2.2
通讯作者:
Ting Jiang;Fang-Wei Fu
Ting Jiang;Fang-Wei Fu
中科院分区:
数学3区
文献类型:
--
作者:
Ting Jiang;Fang-Wei Fu

文献摘要

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一个四元序列称为好的,如果它的最大非平凡自相关相对于它的周期是非常低的。本文通过两个二元割圆序列给出了几类新的具有周期N的低自相关的四元序列,其中奇素数。此外,我们还确定了这些四元序列的线性复杂度和最小多项式。
A quaternary sequence is said to be good if its maximum nontrivial autocorrelation is very low relative to its period. In this paper, we present some new classes of quaternary sequences with low autocorrelation of periodNvia two binary cyclotomic sequences, whereis an odd prime. Furthermore, we determine the linear complexity and minimal polynomials of these quaternary sequences overas well.