Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of Automorphisms for the Decoding of Polar Codes   This paper proposes new polar code design principles for the low-latency
automorphism ensemble (AE) decoding. Our proposal permits to design a polar
code with the desired automorphism group (if possible) while assuring the
decreasing monomial property. Moreover, we prove that some automorphisms are
redundant under AE decoding, and we propose a new automorphisms classification
based on equivalence classes. Finally, we propose an automorphism selection
heuristic based on drawing only one element of each class; we show that this
method enhances the block error rate (BLER) performance of short polar codes
even with a limited number of automorphisms.

32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas