Geodesic
The bounds on the number of partitions of the space ${\mathbf F}_2^m$ into $k$-dimensional affine subspaces
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2022), pp. 21-25

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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. 
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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 Moskovskogo universiteta. Matematika, mehanika, no. 3 (2022), pp. 21-25. http://geodesic.mathdoc.fr/item/VMUMM_2022_3_a4/