Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Complete Hierarchical Locality of the Punctured Simplex Code   This paper presents a new alphabet-dependent bound for codes with
hierarchical locality. Then, the complete list of possible localities is
derived for a class of codes obtained by deleting specific columns from a
Simplex code. This list is used to show that these codes are optimal codes with
hierarchical locality.

29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg