m值復(fù)合邏輯函數(shù)的Chrestenson循環(huán)譜、自相關(guān)函數(shù)及應(yīng)用
Chrestenson Spectrum and Auto-correlation Function of m-value Composition Logical Function and Applications
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摘要: 該文利用反演公式求得了m 值復(fù)合邏輯函數(shù)的Chrestenson循環(huán)譜的計(jì)算公式, 并由此得到了m 值復(fù)合邏輯函數(shù)的自相關(guān)函數(shù)的計(jì)算公式, 進(jìn)而運(yùn)用這兩個(gè)公式, 給出了m 值復(fù)合邏輯函數(shù)具備平衡性、相關(guān)免疫性的條件, 并對(duì)m 值復(fù)合邏輯函數(shù)的自相關(guān)函數(shù)及其性質(zhì)進(jìn)行了分析; 此外該文還得到有限個(gè)m 值復(fù)合邏輯函數(shù)的非零線性和函數(shù)的Chrestenson循環(huán)譜的計(jì)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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