Theorem 1.
Let f :L → F2 be a near bent function, and let u be the characteristic function of supp F. Let H be a hyperplane in L. Then f restricted to H is bent if and only if supp U ∩H = ∅.
Feb 20, 2008
Abstract. We present a general criterion for near bent functions to be bent on a hyperplane. Let n = 3 k ± 1 be odd and let d = 4 k − 2 k + 1 .
We present a general criterion for near bent functions to be bent on a hyperplane. Let n=3k+/-1 be odd and let d=4^k-2^k+1. We show that the Kasami-Welch ...
We present a general criterion for near bent functions to be bent on a hyperplane. Let n=3k±1 be odd and let d=4k−2k+1. We show that the Kasami–Welch function ...
Semantic Scholar extracted view of "Near bent functions on a hyperplane" by J. Dillon et al.
Abstract. AbstractWe present a general criterion for near bent functions to be bent on a hyperplane. Let n=3k±1 be odd and let d=4k−2k+1.
Dec 20, 2006 · We show that the Kasami-Welch function Tr(xd) is a bent function when restricted to the hyperplane of trace 0 ... Key words: Kasami-Welch, Bent ...
We give a construction of bent functions in dimension 2m from near-bent functions in dimension 2 m − 1 . In particular, we give the first ever examples of ...
In the mathematical field of combinatorics, a bent function is a Boolean function that is maximally non-linear; it is as different as possible from the set ...
Missing: hyperplane. | Show results with:hyperplane.
Abstract. Bent functions have maximal minimum distance to the set of affine functions. In other words, they achieve the maximal minimum.
Missing: hyperplane. | Show results with:hyperplane.