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This article is cited in 1 scientific paper (total in 1 paper)
Discrete Functions
On the set of values for Hamming distance between self-dual bent functions
A. V. Kutsenko Faculty of Mechanics and Mathematics, Novosibirsk State University, Novosibirsk
Abstract:
It is shown that the Hamming distance between self-dual Maiorana–McFarland bent functions of the form $\langle x,\pi(y)\rangle\oplus h(y)$, where $\pi\in\operatorname{GL}(n/2,\mathbb Z_2)$, belongs to the set $\{2^{n-1},2^{n-1}(1\pm1/2),2^{n-1}(1\pm1/2^2),\dots,2^{n-1}(1\pm1/2^{n/2-1}),2^n\}$.
Keywords:
Boolean function, bent function, Walsh–Hadamard transform, self-dual bent, Maiorana–McFarland bent function.
Citation:
A. V. Kutsenko, “On the set of values for Hamming distance between self-dual bent functions”, Prikl. Diskr. Mat. Suppl., 2016, no. 9, 29–30
Linking options:
https://www.mathnet.ru/eng/pdma283 https://www.mathnet.ru/eng/pdma/y2016/i9/p29
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Abstract page: | 115 | Full-text PDF : | 34 | References: | 21 |
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