Results 1 to 10 of about 72,154 (253)
On the ranks of bent functions
Finite Fields and Their Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rongquan Feng, Weisheng Qiu
exaly +4 more sources
There Are Infinitely Many Bent Functions for Which the Dual Is Not Bent [PDF]
IEEE Transactions on Information Theory, 2016 Bent functions can be classified into regular bent functions, weakly regular but not regular bent functions, and non-weakly regular bent functions. Regular and weakly regular bent functions always appear in pairs since their duals are also bent functions. In general this does not apply to non-weaky regular bent functions.
Ayça Çeşmelioğlu +2 more
exaly +6 more sources
Journal of Combinatorial Theory, Series A, 1976 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rothaus, O.S
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Decomposing bent functions [PDF]
IEEE Transactions on Information Theory, 2003 In a recent paper , it was shown that the restrictions of bent functions to subspaces of codimension 1 and 2 are highly nonlinear. Here, we present an extensive study of the restrictions of bent functions to affine subspaces. We propose several methods which are mainly based on properties of the derivatives and of the dual of a given bent function.
Anne Canteaut, Pascale Charpin
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Journal of Combinatorial Theory, Series A, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, Xiang-Dong, Langevin, Philippe
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Construction of bent functions from near-bent functions
Journal of Combinatorial Theory, Series A, 2009 A function \(f\) from an \(n\)-dimensional vector space \(V_n\) over \(\mathbb{F}_2\) into \(\mathbb{F}_2\) is called bent (near-bent) if its Walsh transform \(\hat{f}(u) = \sum_{x\in V_n}(-1)^{f(x)+\langle u,x\rangle}\) where \(\langle\;,\;\rangle\) denotes any inner product on \(V_n\) takes values in \(\{\pm 2^{n/2}\}\) (\(\{0,\pm 2^{(n+1)/2 ...
Gregor Leander, Gary McGuire
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Partially-bent functions [PDF]
Designs, Codes and Cryptography, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the q-bentness of Boolean functions [PDF]
Designs, Codes and Cryptography, 2018 For each non-constant $q$ in the set of $n$-variable Boolean functions, the {\em $q$-transform} of a Boolean function $f$ is related to the Hamming distances from $f$ to the functions obtainable from $q$ by nonsingular linear change of basis. Klapper conjectured that no Boolean function exists with its $q$-transform coefficients equal to $\pm 2^{n/2}$ (
Zhixiong Chen 0002 +2 more
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On the Duals of Generalized Bent Functions
IEEE Transactions on Information Theory, 2022 In this paper, we study the dual of generalized bent functions $f: V_{n}\rightarrow \mathbb{Z}_{p^k}$ where $V_{n}$ is an $n$-dimensional vector space over $\mathbb{F}_{p}$ and $p$ is an odd prime, $k$ is a positive integer. It is known that weakly regular generalized bent functions always appear in pairs since the dual of a weakly regular generalized ...
Jiaxin Wang 0001, Fang-Wei Fu 0001
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Discrete Applied Mathematics, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chengxin Qu +2 more
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