Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On nonlinear polynomial selection for the number field sieve   Nonlinear polynomial selection algorithms for the number field sieve address
the problem of constructing polynomials with small coefficients by reducing to
instances of the well-studied problem of finding short vectors in lattices. The
reduction rests upon the construction of modular geometric progressions with
small terms. In this paper, the methods used to construct the geometric
progressions are extended, resulting in the development of two nonlinear
polynomial selection algorithms.

7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph