| 有限域上的函数的相关免疫性和线性结构的谱特征 |
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| 引用本文： | 冯登国,肖国镇.有限域上的函数的相关免疫性和线性结构的谱特征[J].通信学报,1997,18(1):40-45. |
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| 作者姓名： | 冯登国 肖国镇 |
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| 作者单位： | 中国科学院研究生院(冯登国)，西安电子科技大学(肖国镇) |
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| 摘 要： | 本文首先对有限域上的相关免疫函数进行了研究，揭示了相关免疫性，统计独立性和平衡性之间的关系。其次介绍了有限域上的两种广义Ｃｈｒｅｓｔｅｎｓｏｎ谱并讨论了这两种谱之间的关系，给出了有限域上的相关免疫函数的频谱特征。最后讨论了有限域上的函数的线性结构的频谱特征
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| 关 键 词： | 相关免疫 统计独立 平衡性 谱 线性结构 |
Spectral Characterization of Correlation immune and Linear Structures of Functions over Finite Field |
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| Feng DengguoXiao Guozhen.Spectral Characterization of Correlation immune and Linear Structures of Functions over Finite Field[J].Journal on Communications,1997,18(1):40-45. |
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| Authors: | Feng DengguoXiao Guozhen |
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| Abstract: | Firstly, correlation immune functions over finite field is discussed, the relationship among correlation immune, statistical independence and balance is revealed. Secondly, two kinds of generalized chrestenson spectrum over finite field are introduced and their relationship is discussed, a spectral characterization of correlation immune functions over finite field is derived. Finally, spectral characterization of linear structure of functions over finite field is explored. |
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| Keywords: | correlation immune statistical independence balance spectrum linear structure |
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