Reed-Muller codes achieve capacity on erasure channels

S Kudekar, S Kumar, M Mondelli, HD Pfister… - Proceedings of the forty …, 2016 - dl.acm.org
We introduce a new approach to proving that a sequence of deterministic linear codes
achieves capacity on an erasure channel under maximum a posteriori decoding. Rather …

Optimal group testing

A Coja-Oghlan, O Gebhard… - … on Learning Theory, 2020 - proceedings.mlr.press
In the group testing problem, which goes back to the work of Dorfman (1943), we aim to
identify a small set of $ k\sim n^\theta $ infected individuals out of a population size $ n …

Mutual information and optimality of approximate message-passing in random linear estimation

J Barbier, N Macris, M Dia… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
We consider the estimation of a signal from the knowledge of its noisy linear random
Gaussian projections. A few examples where this problem is relevant are compressed …

Massive MIMO, non-orthogonal multiple access and interleave division multiple access

C Xu, Y Hu, C Liang, J Ma, L Ping - IEEE Access, 2017 - ieeexplore.ieee.org
This paper provides an overview on the rationales in incorporating massive multiple-input
multiple-output (MIMO), non-orthogonal multiple access (NOMA), and interleave division …

The mutual information in random linear estimation

J Barbier, M Dia, N Macris… - 2016 54th Annual Allerton …, 2016 - ieeexplore.ieee.org
We consider the estimation of a signal from the knowledge of its noisy linear random
Gaussian projections, a problem relevant in compressed sensing, sparse superposition …

Threshold saturation for spatially coupled LDPC and LDGM codes on BMS channels

S Kumar, AJ Young, N Macris… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
Spatially-coupled low-density parity-check (LDPC) codes, which were first introduced as
LDPC convolutional codes, have been shown to exhibit excellent performance under low …

Spatially coupled sparse codes on graphs: Theory and practice

DJ Costello, L Dolecek, TE Fuja… - IEEE …, 2014 - ieeexplore.ieee.org
Since the discovery of turbo codes 20 years ago and the subsequent rediscovery of low-
density parity check codes a few years later, the field of channel coding has experienced a …

Challenges and some new directions in channel coding

E Ankan, N Ul Hassan, M Lentmaier… - Journal of …, 2015 - ieeexplore.ieee.org
Challenges and some new directions in channel coding Page 1 328 JOURNAL OF
COMMUNICATIONS AND NETWORKS, VOL. 17, NO. 4, AUGUST 2015 Challenges and …

A simple proof of Maxwell saturation for coupled scalar recursions

A Yedla, YY Jian, PS Nguyen… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
Low-density parity-check (LDPC) convolutional codes (or spatially coupled codes) were
recently shown to approach capacity on the binary erasure channel (BEC) and binary-input …

Trends in Channel Coding for 6G

S Miao, C Kestel, L Johannsen… - Proceedings of the …, 2024 - ieeexplore.ieee.org
Error correction coding (ie, channel coding) is a key ingredient of any digital
communications system. In mobile wireless communications, channel codes have evolved …