Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear sets and MRD-codes arising from a class of scattered linearized
  polynomials   A class of scattered linearized polynomials covering infinitely many field
extensions is exhibited. More precisely, the $q$-polynomial over $\mathbb
F_{q^6}$, $q \equiv 1\pmod 4$ described in arXiv:1906.05611, arXiv:1910.02278
is generalized for any even $n\ge6$ to an $\mathbb F_q$-linear automorphism
$\psi(x)$ of $\mathbb F_q^n$ of order $n$. Such $\psi(x)$ and some functional
powers of it are proved to be scattered. In particular this provides new
maximum scattered linear sets of the projective line $\mathrm{PG}(1,q^n)$ for
$n=8,10$. The polynomials described in this paper lead to a new infinite family
of MRD-codes in $\mathbb F_q^{n\times n}$ with minimum distance $n-1$ for any
odd $q$ if $n\equiv0\pmod4$ and any $q\equiv1\pmod4$ if $n\equiv2\pmod4$.

20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph