Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Hamming and Golay Number-Theoretic Transforms   New number-theoretic transforms are derived from known linear block codes
over finite fields. In particular, two new such transforms are built from
perfect codes, namely the \textit {Hamming number-theoretic transform} and the
\textit {Golay number-theoretic transform}. A few properties of these new
transforms are presented.

18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys