Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A conjecture about Gauss sums and bentness of binomial Boolean functions   In this note, the polar decomposition of binary fields of even extension
degree is used to reduce the evaluation of the Walsh transform of binomial
Boolean functions to that of Gauss sums. In the case of extensions of degree
four times an odd number, an explicit formula involving a Kloosterman sum is
conjectured, proved with further restrictions, and supported by extensive
experimental data in the general case. In particular, the validity of this
formula is shown to be equivalent to a simple and efficient characterization
for bentness previously conjectured by Mesnager.

20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol