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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 3, Pages 21–25
(Mi vmumm4471)
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This article is cited in 4 scientific papers (total in 4 papers)
Mathematics
The bounds on the number of partitions of the space ${\mathbf F}_2^m$ into $k$-dimensional affine subspaces
I. P. Baksova, Yu. V. Tarannikov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The bounds on the number of partitions of the space ${\mathbf F}_2^m$ into affine subspaces of dimension $k$ are presented in the paper.
Apart from their immediate interest, these bounds are important for estimating the number of bent functions
generated by some constructions.
Key words:
affine subspaces, partitions of a space, bounds, bent functions.
Received: 12.01.2022
Citation:
I. P. Baksova, Yu. V. Tarannikov, “The bounds on the number of partitions of the space ${\mathbf F}_2^m$ into $k$-dimensional affine subspaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3, 21–25; Moscow University Mathematics Bulletin, 77:3 (2022), 131–135
Linking options:
https://www.mathnet.ru/eng/vmumm4471 https://www.mathnet.ru/eng/vmumm/y2022/i3/p21
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Abstract page: | 137 | Full-text PDF : | 19 | References: | 19 | First page: | 3 |
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