Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical and Quantum Polynomial Reconstruction via Legendre Symbol
  Evaluation   We consider the problem of recovering a hidden monic polynomial f(X) of
degree d > 0 over the finite field F of p elements given a black box which, for
any x in F, evaluates the quadratic character of f(x). We design a classical
algorithm of complexity O(d^2 p^{d + c}), for any c > 0, and also show that the
quantum query complexity of this problem is O(d). Some of our results extend
those of Wim van Dam, Sean Hallgren and Lawrence Ip obtained in the case of a
linear polynomial f(X) = X + s (with unknown s); some are new even in this
case.

24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con