Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the extention of propelinear structures of Nordstrom-Robinson code to
  Hamming code   A code is called propelinear if its automorphism group contains a subgroup
that acts regularly on its codewords, which is called a propelinear structure
on the code. In the paper a classification of the propelinear structures on the
Nordstrom-Robinson code is obtained and the question of extension of these
structures to propelinear structures of the Hamming code, that contains the
Nordstrom-Robinson code. The result partially relies on a representation of all
partitions of the Hamming code into codes with parameters of Nordstrom-Robinson
code via Fano planes which is given in the paper.

11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess