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, Number 3,Pages 21

This article is cited in 3 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.

UDC: 519.115.4

Received: 12.01.2022