Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the weight distribution of random binary linear codes   We investigate the weight distribution of random binary linear codes. For
$0<\lambda<1$ and $n\to\infty$ pick uniformly at random $\lambda n$ vectors in
$\mathbb{F}_2^n$ and let $C \le \mathbb{F}_2^n$ be the orthogonal complement of
their span. Given $0<\gamma<1/2$ with $0< \lambda < h(\gamma)$ let $X$ be the
random variable that counts the number of words in $C$ of Hamming weight
$\gamma n$. In this paper we determine the asymptotics of the moments of $X$ of
all orders $o(\frac{n}{\log n})$.

7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys