Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted Reed-Solomon convolutional codes   In this paper we present a concrete algebraic construction of a novel class
of convolutional codes. These codes are built upon generalized Vandermonde
matrices and therefore can be seen as a natural extension of Reed-Solomon block
codes to the context of convolutional codes. For this reason we call them
weighted Reed-Solomon (WRS) convolutional codes. We show that under some
constraints on the defining parameters these codes are Maximum Distance Profile
(MDP), which means that they have the maximal possible growth in their column
distance profile. We study the size of the field needed to obtain WRS
convolutional codes which are MDP and compare it with the existing general
constructions of MDP convolutional codes in the literature, showing that in
many cases WRS convolutional codes require significantly smaller fields.

8
The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
19
The categories of this paper are: eess