Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of PMDS and SD Codes extending RAID 5   A construction of Partial Maximum Distance Separable (PMDS) and Sector-Disk
(SD) codes extending RAID 5 with two extra parities is given, solving an open
problem. Previous constructions relied on computer searches, while our
constructions provide a theoretical solution to the problem.

29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat