Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Six constructions of asymptotically optimal codebooks via the character
  sums   In this paper, using additive characters of finite field, we find a codebook
which is equivalent to the measurement matrix in [20]. The advantage of our
construction is that it can be generalized naturally to construct the other
five classes of codebooks using additive and multiplicative characters of
finite field. We determine the maximal cross-correlation amplitude of these
codebooks by the properties of characters and character sums. We prove that all
the codebooks we constructed are asymptotically optimal with respect to the
Welch bound. The parameters of these codebooks are new.

0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ