Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some notes on the multiplicative order of $\alpha + \alpha^{-1}$ in
  finite fields of characteristic two   In this paper we prove some results on the possible multiplicative orders of
$\alpha + \alpha^{-1}$ when $\alpha$ is a non-zero element of a finite field of
characteristic 2. The results of the paper rely on a previous investigation on
the structure of the graphs associated with the map $x \mapsto x + x^{-1}$ in
finite fields of characteristic 2.

22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci