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This article is cited in 1 scientific paper (total in 1 paper)
Discrete Functions
Isometric mappings of the set of all Boolean functions into itself which preserve self-duality and the Rayleigh quotient
A. V. Kutsenko Novosibirsk State University
Abstract:
In the paper, we study isometric mappings of the set of all Boolean functions in $n$ variables into itself which preserve self-duality and the Rayleigh quotient of Boolean function and generalize known results. It is proved that isometric mapping preserves self-duality if and only if it preserves anti-self-duality. The complete characterization of these mappings is obtained. Based on this result, the set of isometric mappings which preserve the Rayleigh quotient of a Boolean function is described. As a corollary, all isometric mappings which preserve bentness and the Hamming distance between bent function and its dual are given.
Keywords:
Boolean function, isometric mapping, self-dual bent function, Rayleigh quotient.
Citation:
A. V. Kutsenko, “Isometric mappings of the set of all Boolean functions into itself which preserve self-duality and the Rayleigh quotient”, Prikl. Diskr. Mat. Suppl., 2019, no. 12, 55–58
Linking options:
https://www.mathnet.ru/eng/pdma431 https://www.mathnet.ru/eng/pdma/y2019/i12/p55
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Abstract page: | 199 | Full-text PDF : | 48 | References: | 16 |
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