Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximum Sum-Rank Distance Codes over Finite Chain Rings   In this work, maximum sum-rank distance (MSRD) codes and linearized
Reed-Solomon codes are extended to finite chain rings. It is proven that
linearized Reed-Solomon codes are MSRD over finite chain rings, extending the
known result for finite fields. For the proof, several results on the roots of
skew polynomials are extended to finite chain rings. These include the
existence and uniqueness of minimum-degree annihilator skew polynomials and
Lagrange interpolator skew polynomials. An efficient Welch-Berlekamp decoder
with respect to the sum-rank metric is then provided for finite chain rings.
Finally, applications in Space-Time Coding with multiple fading blocks and
physical-layer multishot Network Coding are discussed.

26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio