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Asymmetric nonlinear coupling and its applications to logic functions

✍ Scribed by Chih-Chung Yang; Wang, A.J.S.

Book ID
117866835
Publisher
IEEE
Year
1992
Tongue
English
Weight
935 KB
Volume
28
Category
Article
ISSN
0018-9197

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The algebraic nonlinearity of an n-bit boolean function is defined as tbe degree of the polynomial f(X) e Z2 [xl, x2,..., x,] that represents f. We prove that the average degree of an ANF polynomial for an n-bit function is n + o(1). Further, for a balanced n-bit function, any subfunction obtained b