| m值“复合”逻辑函数的Chrestenson循环谱、自相关函数及应用 |
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| 引用本文： | 李迎东,李世取.m值“复合”逻辑函数的Chrestenson循环谱、自相关函数及应用[J].电子与信息学报,2006,28(7):1258-1261. |
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| 作者姓名： | 李迎东 李世取 |
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| 作者单位： | 解放军信息工程学院,信息研究系,郑州,450002 |
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| 摘 要： | 该文利用反演公式求得了m值“复合”逻辑函数的Chrestenson循环谱的计算公式，并由此得到了m值“复合”逻辑函数的自相关函数的计算公式，进而运用这两个公式，给出了m值“复合”逻辑函数具备平衡性、相关免疫性的条件，并对m值“复合”逻辑函数的自相关函数及其性质进行了分析；此外该文还得到有限个m值“复合”逻辑函数的非零线性和函数的Chrestenson循环谱的计算公式。
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| 关 键 词： | 反演公式 Chrestenson循环谱 自相关函数 平衡 相关免疫 |
| 文章编号： | 1009-5896（2006）07-1258-04 |
| 收稿时间： | 2004-12-16 |
| 修稿时间： | 2005-07-11 |
Chrestenson Spectrum and Auto-correlation Function of m-value
“Composition” Logical Function and Applications |
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| Li Ying-dong,Li Shi-qu.Chrestenson Spectrum and Auto-correlation Function of m-value
“Composition” Logical Function and Applications[J].Journal of Electronics & Information Technology,2006,28(7):1258-1261. |
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| Authors: | Li Ying-dong Li Shi-qu |
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| Institution: | Department of Information Research, PLA Information Engineering College, Zhengzhou 450002, China |
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| Abstract: | This paper presents the formula of Chrestenson spectrum of m-value “composition” logical function by using inversion formula, and gives the formula of auto-correlation function of m-value “composition” logical function. Furthermore, this paper gives some conditions under which m-value “composition” logical function is separate balanced or correlation-immune, and analyzes the auto-correlation function of m-value “composition” logical function and its charateristic. Moreover, this paper gets the Chrestenson spectrum formular of nonzero linear combination of several m-value “composition” logical functions. |
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| Keywords: | Inversion formula Chrestenson spectrum Auto-correlation Balance Correlation-immune |
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