Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Feasible alphabets for communicating the sum of sources over a network   We consider directed acyclic {\em sum-networks} with $m$ sources and $n$
terminals where the sources generate symbols from an arbitrary alphabet field
$F$, and the terminals need to recover the sum of the sources over $F$. We show
that for any co-finite set of primes, there is a sum-network which is solvable
only over fields of characteristics belonging to that set. We further construct
a sum-network where a scalar solution exists over all fields other than the
binary field $F_2$. We also show that a sum-network is solvable over a field if
and only if its reverse network is solvable over the same field.

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The categories of this paper are: econ
28
The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex