Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On transitive designs and strongly regular graphs constructed from
  Mathieu group $M_{11}$   In this paper we construct structures from Mathieu group $M_{11}$. We
classify transitive $t$-designs with 11, 12 and 22 points admitting a
transitive action of Mathieu group $M_{11}$. Thereby we proved the existence of
designs with parameters 3-(22,7,18) and found first simple designs with
parameters 4-(11,5,6) and 5-(12,6,6). Additionally, we proved the existence of
$2$-designs with certain parameters having 55 and 66 points. Furthermore, we
classified strongly regular graphs on at most 450 vertices admitting a
transitive action of the Mathieu group $M_{11}$.

11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th