Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An improvement of the asymptotic Elias bound for non-binary codes   For non-binary codes the Elias bound is a good upper bound for the asymptotic
information rate at low relative minimum distance, where as the Plotkin bound
is better at high relative minimum distance. In this work, we obtain a hybrid
of these bounds which improves both. This in turn is based on the anticode
bound which is a hybrid of the Hamming and Singleton bounds and improves both
bounds.
  The question of convexity of the asymptotic rate function is an important
open question. We conjecture a much weaker form of the convexity, and we show
that our bounds follow immediately if we assume the conjecture.

15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess