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Chrestenson Spectrum and Auto-correlation Function of m-value
“Composition” Logical Function and Applications |
Li Ying-dong; Li Shi-qu |
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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Received: 16 December 2004
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