Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized bilinear forms graphs and MDR codes   We investigate the generalized bilinear forms graph $\Gamma_d$ over a residue
class ring $\mathbb{Z}_{p^s}$. We show that $\Gamma_d$ is a connected vertex
transitive graph, and completely determine its independence number, clique
number, chromatic number and maximum cliques. We also prove that cores of both
$\Gamma_d$ and its complement are maximum cliques. The graph $\Gamma_d$ is
useful for error-correcting codes. We show that every largest independent set
of $\Gamma_d$ is both an MRD code over $\mathbb{Z}_{p^s}$ and a usual MDS code.
Moreover, there is a largest independent set of $\Gamma_d$ to be a linear code
over $\mathbb{Z}_{p^s}$.

22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph