The Bounds on the Number of Partitions of the Space $$\mathbf{F}_{\mathbf{2}}^{\boldsymbol{m}}$$ into $$\boldsymbol{k}$$-Dimensional Affine Subspacesстатья
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Аннотация:The bounds on the number of partitions of the space $\mathbf{F}_{\mathbf{2}}^{\boldsymbol{m}}$ into affine subspaces of dimension $\boldsymbol{k}$ 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.