Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic bounds on numbers of bent functions and partitions of the
  Boolean hypercube into linear and affine subspaces   The main result of the present paper is a new lower bound on the number of
Boolean bent functions. This bound is based on a modification of the
Maiorana--McFarland family of bent functions and recent progress in the
estimation of the number of transversals in latin squares and hypercubes. In
addition, we find the asymptotics of the logarithm of the numbers of partitions
of the Boolean hypercube into $2$-dimensional linear and affine subspaces.

22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph