Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Circulant matrices, gauss sums and mutually unbiased I. The prime number
  case   In this paper, we consider the problem of Mutually Unbiased Bases in prime
dimension $d$. It is known to provide exactly $d+1$ mutually unbiased bases. We
revisit this problem using a class of circulant $d \times d$ matrices. The
constructive proof of a set of $d+1$ mutually unbiased bases follows, together
with a set of properties of Gauss sums, and of bi-unimodular sequences.

10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th