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This article is cited in 15 scientific papers (total in 15 papers)
The group of automorphisms of the set of bent functions
N. N. Tokareva
Abstract:
The bent functions are the Boolean functions of an even number of variables which are at the maximum possible distance from the set of all affine functions. In this paper, it is shown that each isometric mapping of the set of Boolean functions of $n$ variables to itself preserving the class of bent functions is a combination of an affine transformation of coordinates and a shift by an affine function. It is proved that the affine functions are precisely all Boolean functions which are at the maximum possible distance from the class of bent functions.
Received: 19.04.2010 Revised: 14.05.2010
Citation:
N. N. Tokareva, “The group of automorphisms of the set of bent functions”, Diskr. Mat., 22:4 (2010), 34–42; Discrete Math. Appl., 20:5-6 (2010), 655–664
Linking options:
https://www.mathnet.ru/eng/dm1117https://doi.org/10.4213/dm1117 https://www.mathnet.ru/eng/dm/v22/i4/p34
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Abstract page: | 496 | Full-text PDF : | 217 | References: | 65 | First page: | 16 |
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