Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattered subspaces and related codes   After a seminal paper by Shekeey (2016), a connection between maximum
$h$-scattered $\mathbb{F}_q$-subspaces of $V(r,q^n)$ and maximum rank distance
(MRD) codes has been established in the extremal cases $h=1$ and $h=r-1$. In
this paper, we propose a connection for any $h\in\{1,\ldots,r-1\}$, extending
and unifying all the previously known ones. As a consequence, we obtain
examples of non-square MRD codes which are not equivalent to generalized
Gabidulin or twisted Gabidulin codes. Up to equivalence, we classify MRD codes
having the same parameters as the ones in our connection. Also, we determine
the weight distribution of codes related to the geometric counterpart of
maximum $h$-scattered subspaces.

8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an