Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal arcs and extended cyclic codes   It is proved that for every $d\ge 2$ such that $d-1$ divides $q-1$, where $q$
is a power of 2, there exists a Denniston maximal arc $A$ of degree $d$ in
$\PG(2,q)$, being invariant under a cyclic linear group that fixes one point of
$A$ and acts regularly on the set of the remaining points of ${A}$. Two
alternative proofs are given, one geometric proof based on Abatangelo-Larato's
characterization of Denniston arcs, and a second coding-theoretical proof based
on cyclotomy and the link between maximal arcs and two-weight codes.

8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph