Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cyclic Codes with Locality and Availability   In this work codes with availability are constructed based on the cyclic
\emph{locally repairable code} (LRC) construction by Tamo et al. and their
extension to $(r,\rho)$-locality by Chen et al. The minimum distance of these
codes is increased by carefully extending their defining set. We give a bound
on the dimension of LRCs with availability and orthogonal repair sets and show
that the given construction is optimal for a range of parameters.

6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an