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- W2075328823 abstract "In this paper, we study the nonexistence of bent functions in the class of Boolean functions without monomials of degree less than d in their algebraic normal forms (ANF). We prove that n-variable Boolean functions in such class are not bent when there are not more than n + d - 3 monomials in their ANFs. We also show that an n-variable Boolean function is not bent if it has no monomial of degree less than ⌈3n/8 + 3/4⌉ in its ANF." @default.
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- W2075328823 date "2011-09-01" @default.
- W2075328823 modified "2023-09-23" @default.
- W2075328823 title "ON THE NONEXISTENCE of BENT FUNCTIONS" @default.
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- W2075328823 doi "https://doi.org/10.1142/s0129054111008799" @default.
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