Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Performance Analysis of Algebraic Soft-Decision Decoding of Reed-Solomon
  Codes   We investigate the decoding region for Algebraic Soft-Decision Decoding (ASD)
of Reed-Solomon codes in a discrete, memoryless, additive-noise channel. An
expression is derived for the error correction radius within which the
soft-decision decoder produces a list that contains the transmitted codeword.
The error radius for ASD is shown to be larger than that of Guruswami-Sudan
hard-decision decoding for a subset of low-rate codes. These results are also
extended to multivariable interpolation in the sense of Parvaresh and Vardy. An
upper bound is then presented for ASD's probability of error, where an error is
defined as the event that the decoder selects an erroneous codeword from its
list. This new definition gives a more accurate bound on the probability of
error of ASD than the results available in the literature.

18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph