| GMW序列的迹表示 |
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| 引用本文： | 王全胜,田金兵.GMW序列的迹表示[J].数学的实践与认识,2009,39(2). |
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| 作者姓名： | 王全胜 田金兵 |
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| 作者单位： | 1. 荆楚理工学院,数理学院,荆门,448200
2. 海南师范大学,初等教育学院,海口,571158 |
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| 摘 要： | 研究了长度为2n-1的二元GMW序列的迹表示,用从F2n到F2的迹函数的和式给出了GMW序列的一种简洁的迹表示,并且通过这种迹表示得到了一种新的快速生成GMW序列的方法和一种求GMW序列的极小多项式的方法.最后,还证明了两个GMW序列具有相同极小多项式的一个充要条件.
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| 关 键 词： | 两值自相关序列 GMW序列 极小多项式 迹函数 |
Trace Representation of GM W Sequences |
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| WANG Quan-sheng,TIAN Jin-bing.Trace Representation of GM W Sequences[J].Mathematics in Practice and Theory,2009,39(2). |
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| Authors: | WANG Quan-sheng TIAN Jin-bing |
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| Abstract: | Binary GMW sequences of period 2n-1 are explicitely represented as a sum of trace functions from F2n to F2 in this paper.A new scheme of generating GMW sequences as well as a new method of computing the minimal polynomials of GMW sequences are proposed.The new generating scheme is more efficient than the classical algrithm.The necessary and sufficient conditions are also derived when the two GMW sequences have the same minimal polynomials. |
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| Keywords: | sequences with two-level correlation GMW sequences minimal polynomial trace function |
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