Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improved error bounds for the distance distribution of Reed-Solomon
  codes   We use the generating function approach to derive simple expressions for the
factorial moments of the distance distribution over Reed-Solomon codes. We
obtain better upper bounds for the error term of a counting formula given by Li
and Wan, which gives nontrivial estimates on the number of polynomials over
finite fields with prescribed leading coefficients and a given number of linear
factors. This improvement leads to new results on the classification of deep
holes of Reed Solomon codes.

20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th