New M -Ary Sequence Families With Low Correlation and Large Size
New M -Ary Sequence Families With Low Correlation and Large Size
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DOI：
10.1109/tit.2009.2013040
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发表时间：
2009-04
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影响因子：
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通讯作者：
Yun Kyoung Han;Kyeongcheol Yang
中科院分区：
文献类型：
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作者：
Yun Kyoung Han;Kyeongcheol Yang
在本文中，当M是P-1的除数时，我们使用奇数质期P的功率残留序列构建了四个Mary序列家族及其恒定的多个序列。我们表明，所提出的序列家族的最大相关值由2RADICP +5或3RADICP +4限制。此外，我们证明所提出的家族中每个序列的线性复杂性是P-1或P - [（P-1）/（M）] - 1。当M是P M-1的分裂时，我们还通过应用相同的方法从SIDEL'NIKOV序列中构建了一个Mary序列家族。所提出的序列家族f tilde S的大小比已知的Mary sidel'nikov序列家族大，而它们在最大相关性上都具有相同的上限。
In this paper, we construct four M-ary sequence families from a power residue sequence of odd prime period p and its constant multiple sequences using the shift-and-add method, when M is a divisor of p-1. We show that the maximum correlation values of the proposed sequence families are upper-bounded by 2radicp +5 or 3radicp +4. In addition, we prove that the linear complexity of each sequence in the proposed families is either p-1 or p-[(p-1)/(M)]-1 . We also construct an M-ary sequence family from Sidel'nikov sequences of period p m-1 by applying the same method, when M is a divisor of p m-1. The proposed sequence family F tilde s has larger size than the known M-ary Sidel'nikov sequence families, whereas they all have the same upper bound on the maximum correlation.