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This article is cited in 1 scientific paper (total in 1 paper)
Discrete Functions
On some properties of self-dual bent functions
A. V. Kutsenko Mechanics and Mathematics Department, Novosibirsk State University, Novosibirsk
Abstract:
We study the properties of self-dual bent functions. It is proved that the minimal Hamming distance between self-dual bent functions is $2^{n/2}$ and the set of self-dual bent functions is a metrically regular set. The necessary and sufficient conditions for the iterative bent functions $\mathcal{BI}$ (A. Canteaut, P. Charpin, 2003) to be self-dual bent have been found. We have proved that there exists a self-dual bent function in $n$ variables and of any degree $d\in\{2,3,\dots,n/2\}$.
Keywords:
Boolean function, bent function, iterative construction of bent functions, self-dual bent, metrically regular set.
Citation:
A. V. Kutsenko, “On some properties of self-dual bent functions”, Prikl. Diskr. Mat. Suppl., 2018, no. 11, 44–46
Linking options:
https://www.mathnet.ru/eng/pdma390 https://www.mathnet.ru/eng/pdma/y2018/i11/p44
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Abstract page: | 171 | Full-text PDF : | 43 | References: | 16 |
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