Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Joint Typicality Approach to Algebraic Network Information Theory   This paper presents a joint typicality framework for encoding and decoding
nested linear codes for multi-user networks. This framework provides a new
perspective on compute-forward within the context of discrete memoryless
networks. In particular, it establishes an achievable rate region for computing
the weighted sum of nested linear codewords over a discrete memoryless
multiple-access channel (MAC). When specialized to the Gaussian MAC, this rate
region recovers and improves upon the lattice-based compute-forward rate region
of Nazer and Gastpar, thus providing a unified approach for discrete memoryless
and Gaussian networks. Furthermore, this framework can be used to shed light on
the joint decoding rate region for compute-forward, which is considered an open
problem. Specifically, this work establishes an achievable rate region for
simultaneously decoding two linear combinations of nested linear codewords from
K senders.

12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol