Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: List Decodability at Small Radii   $A'(n,d,e)$, the smallest $\ell$ for which every binary error-correcting code
of length $n$ and minimum distance $d$ is decodable with a list of size $\ell$
up to radius $e$, is determined for all $d\geq 2e-3$. As a result, $A'(n,d,e)$
is determined for all $e\leq 4$, except for 42 values of $n$.

3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph