m-Sequence’s Runs,Component Sequences and Vector Sequences in Galois Field

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- m-Sequence’s Runs,Component Sequences and Vector Sequences in Galois Field
- Acta Electronica Sinica Issue 4, Pages: 94-100(1986)
- 作者机构：
  
  西北电讯工程学院
- 作者简介：
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- DOI：
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- Published：1986
- 稿件说明：
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[1]龚光.Galois域上m序列的游程、分量序列和向量序列[J].电子学报,1986(04):94-100.

Gong Guang. m-Sequence’s Runs,Component Sequences and Vector Sequences in Galois Field[J]. Acta Electronica Sinica, 1986, (4): 94-100.
[1]龚光.Galois域上m序列的游程、分量序列和向量序列[J].电子学报,1986(04):94-100. DOI：

Gong Guang. m-Sequence’s Runs,Component Sequences and Vector Sequences in Galois Field[J]. Acta Electronica Sinica, 1986, (4): 94-100. DOI：

本文讨论了Golois域上m序列的游程、分量序列和向量序列。得到了游程的重要特性:n-1长的零游程是等间隙的;证明了分量序列是素域上的m序列;求出了向量序列的线性复杂度、极小多项式、周期和自相关函数。

The m-seqnence’s runs

component sequences and vector sequences in Galois Field are discussed. The runs of n - 1 zeros have equivalent intervals

and the component sequences are m-sequences in the prime field. And the vector sequence’s linear complexity

minimal polynomial

period and self-correlation function are derived.

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