Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: q-ary Propelinear Perfect Codes from the Regular Subgroups of the
  GA(r,q) and Their Ranks   We propose a new method of constructing q-ary propelinear perfect codes. The
approach utilizes permutations of the fixed length q-ary vectors that arise
from the automorphisms of the regular subgroups of the affine group. For any
prime q it is shown that the new class contains an infinite series of q-ary
propelinear perfect codes of varying ranks of growing length.

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The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
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The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn