m值复合逻辑函数的Chrestenson循环谱、自相关函数及应用
Chrestenson Spectrum and Auto-correlation Function of m-value Composition Logical Function and Applications
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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。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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