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Boolean functions, and bent functions in particular, are considered up to so-called EA-equivalence, which is the most general known equivalence relation preserving bentness of functions. However, for ...
Bent functions are optimal combinatorial objects and have been attracted their research for four decades. Secondary constructions play a central role in constructing bent functions since a complete cl...
We present a construction of bent function fa,Sfa,S with n=2mn=2m variables for any nonzero vector a∈Fm2a∈F2m and subset SS of Fm2F2m satisfying a+S=Sa+S=S. We give the simple expression of the dual b...
A notion of the graph of minimal distances of bent functions is introduced. It is an undirected graph (V , E) where V is the set of all bent functions in 2k variables and (f, g) ∈ E if the Hamming d...
In this paper we study the problem that when a Boolean function can be represented as the sum of two bent functions. This problem was recently presented by N. Tokareva in studying the number of bent...
Hyper-bent functions as a subclass of bent functions attract much interest and it is elusive to completely characterize hyper-bent functions. Most of known hyper-bent functions are Boolean functions...
Vectorial Boolean bent functions, which possess the maximal nonlinearity and the minimum differential uniformity, contribute to optimum resistance against linear cryptanalysis and differential cryptan...
Two general classes (constructions) of bent functions are derived from the notion of spread. The first class, PS, gives a useful framework for designing bent functions which are constant (except maybe...
In the literature, few constructions of n-variable rotation symmetric bent functions have been presented, which either have restriction on n or have algebraic degree no more than 4. In this paper, fo...
Two (so-called C, D) classes of permutation-based bent Boolean functions were introduced by Carlet two decades ago, but without specifying some explicit construction methods for their construction (...
The paper is dealing with two important subclasses of plateaued functions: bent and semi-bent functions. In the first part of the paper, we construct mainly bent and semi-bent functions in the Maior...
Bent functions are maximally nonlinear Boolean functions. They are important functions introduced by Rothaus and studied firstly by Dillon and next by many researchers for four decades. Since the co...
We contribute to the knowledge of linear codes with few weights from special polynomials and functions. Substantial efforts (especially due to C. Ding) have been directed towards their study in the ...
This paper is devoted to the characterization of hyper-bent functions. Several classes of hyper-bent functions have been studied, such as Charpin and Gong's $\sum\limits_{r\in R}\mathrm{Tr}_{1}^{n} (a...
In this paper, we first discuss the bentness of a large class of quadratic Boolean functions in polynomial form $f(x)=\sum_{i=1}^{\frac{n}{2}-1}Tr^n_1(c_ix^{1+2^i})+ Tr_1^{n/2}(c_{n/2}x^{1+2^{n/2}})$,...

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