Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On OR Many-Access Channels   OR multi-access channel is a simple model where the channel output is the
Boolean OR among the Boolean channel inputs. We revisit this model, showing
that employing Bloom filter, a randomized data structure, as channel inputs
achieves its capacity region with joint decoding and the symmetric sum rate of
$\ln 2$ bits per channel use without joint decoding. We then proceed to the
"many-access" regime where the number of potential users grows without bound,
treating both activity recognition and message transmission problems,
establishing scaling laws which are optimal within a constant factor, based on
Bloom filter channel inputs.

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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th