Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Faster truncated integer multiplication   We present new algorithms for computing the low n bits or the high n bits of
the product of two n-bit integers. We show that these problems may be solved in
asymptotically 75% of the time required to compute the full 2n-bit product,
assuming that the underlying integer multiplication algorithm relies on
computing cyclic convolutions of real sequences.

14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex