Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derivation of fast DCT algorithms using algebraic technique based on
  Galois theory   The paper presents an algebraic technique for derivation of fast discrete
cosine transform (DCT) algorithms. The technique is based on the algebraic
signal processing theory (ASP). In ASP a DCT associates with a polynomial
algebra C[x]/p(x). A fast algorithm is obtained as a stepwise decomposition of
C[x]/p(x). In order to reveal the connection between derivation of fast DCT
algorithms and Galois theory we define polynomial algebra over the field of
rational numbers Q instead of complex C. The decomposition of Q[x]/p(x)
requires the extension of the base field Q to splitting field E of polynomial
p(x). Galois theory is used to find intermediate subfields L_i in which
polynomial p(x) is factored. Based on this factorization fast DCT algorithm is
derived.

12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org