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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 3, Pages 21–25 (Mi vmumm4471)  
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
Full-text PDF (321 kB) Citations (4)
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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
English version:
Moscow University Mathematics Bulletin, 2022, Volume 77, Issue 3, Pages 131–135
DOI: https://doi.org/10.3103/S0027132222030044
Bibliographic databases:
Document Type: Article
UDC: 519.115.4
Language: Russian
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
Citation in format AMSBIB
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\by I.~P.~Baksova, Yu.~V.~Tarannikov
\paper The bounds on the number of partitions of the space ${\mathbf F}_2^m$ into $k$-dimensional affine subspaces
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 3
\pages 21--25
\mathnet{http://mi.mathnet.ru/vmumm4471}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4480998}
\zmath{https://zbmath.org/?q=an:1498.94111}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2022
\vol 77
\issue 3
\pages 131--135
\crossref{https://doi.org/10.3103/S0027132222030044}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :16
    References:19
    First page:3
     
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