Relation between o-equivalence and EA-equivalence for Niho bent functions
نویسندگان
چکیده
منابع مشابه
On Dillon's class H of bent functions, Niho bent functions and o-polynomials
One of the classes of bent Boolean functions introduced by John Dillon in his thesis is family H. While this class corresponds to a nice original construction of bent functions in bivariate form, Dillon could exhibit in it only functions which already belonged to the wellknown Maiorana-McFarland class. We first notice that H can be extended to a slightly larger class that we denote by H. We obs...
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A Boolean function with an even number n = 2k of variables is called bent if it is maximally nonlinear. We present here a new construction of bent functions. Boolean functions of the form f(x) = tr(α1x1 + α2x2), α1, α2, x ∈ F2n , are considered, where the exponents di (i = 1, 2) are of Niho type, i.e. the restriction of xi on F2k is linear. We prove for d1 = 2 + 1 and d2 = 3 · 2k−1 − 1, d2 = 2 ...
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2021
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2021.101834