Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exploration of AWGNC and BSC Pseudocodeword Redundancy   The AWGNC, BSC, and max-fractional pseudocodeword redundancy of a code is
defined as the smallest number of rows in a parity-check matrix such that the
corresponding minimum pseudoweight is equal to the minimum Hamming distance of
the code. This paper provides new results on the AWGNC, BSC, and max-fractional
pseudocodeword redundancies of codes. The pseudocodeword redundancies for all
codes of small length (at most 9) are computed. Also, comprehensive results are
provided on the cases of cyclic codes of length at most 250 for which the
eigenvalue bound of Vontobel and Koetter is sharp.

15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph