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In "On Coding for Reliable Communication over Packet Networks" (Lun, Medard, and Effros, Proc. 42nd Annu. Allerton Conf. Communication, Control, and Computing, 2004), a capacity-achieving coding scheme for unicast or multicast over lossy…

Information Theory · Computer Science 2007-07-16 Desmond S. Lun , Muriel Medard , Ralf Koetter , Michelle Effros

Modern wireless machine-to-machine-type communications aim to provide both ultra reliability and low latency, stringent requirements that appear to be mutually exclusive. From the noisy channel coding theorem, we know that reliable…

Information Theory · Computer Science 2020-12-04 Diego Barragán Guerrero , Minh Au , Ghyslain Gagnon , François Gagnon , Pascal Giard

Folded Reed-Solomon (FRS) codes are variants of Reed-Solomon codes, known for their optimal list decoding radius. We show explicit FRS codes with rate $R$ that can be list decoded up to radius $1-R-\epsilon$ with lists of size…

Information Theory · Computer Science 2024-10-14 Shashank Srivastava

This letter considers a network comprising a transmitter, which employs random linear network coding to encode a message, a legitimate receiver, which can recover the message if it gathers a sufficient number of linearly independent coded…

Cryptography and Security · Computer Science 2022-03-08 Amjad Saeed Khan , Andrea Tassi , Ioannis Chatzigeorgiou

Compute and Forward (CF) is a promising relaying scheme which, instead of decoding single messages or forwarding/amplifying information at the relay, decodes linear combinations of the simultaneously transmitted messages. The current…

Information Theory · Computer Science 2017-05-23 Ori Shmuel , Asaf Cohen , Omer Gurewitz

One of the primary goals of information theory is to provide limits on the amount of information it is possible to send through various types of communication channels, and to understand the encoding methods that will allow one to achieve…

Quantum Physics · Physics 2014-08-07 Michael R. Beran , Scott M. Cohen

Entanglement is known to significantly improve the performance (separately) of communication and detection schemes that utilize quantum resources. This work explores the simultaneous utility of quantum entanglement for (joint) communication…

Quantum Physics · Physics 2025-10-22 Yuhang Yao , Syed A. Jafar

Capacity formulas and random-coding exponents are derived for a generalized family of Gel'fand-Pinsker coding problems. These exponents yield asymptotic upper bounds on the achievable log probability of error. In our model, information is…

Information Theory · Computer Science 2007-07-13 Pierre Moulin , Ying Wang

Dating back to the seminal work of von Neumann [von Neumann, Automata Studies, 1956], it is known that error correcting codes can overcome faulty circuit components to enable robust computation. Choosing an appropriate code is non-trivial…

Information Theory · Computer Science 2025-10-06 Anirudh Krishna , Gilles Zémor

The work establishes fundamental limits with respect to rate, reliability and computational complexity, for a general setting of outage-limited MIMO communications. In the high-SNR regime, the limits are optimized over all encoders, all…

Information Theory · Computer Science 2010-06-24 Petros Elia , Joakim Jalden

A communication setup is considered where a transmitter wishes to simultaneously sense its channel state and convey a message to a receiver. The state is estimated at the transmitter by means of generalized feedback, i.e. a strictly causal…

Information Theory · Computer Science 2018-05-16 Mari Kobayashi , Giuseppe Caire , Gerhard Kramer

Pre-trained Transformers, through in-context learning (ICL), have demonstrated exceptional capabilities to adapt to new tasks using example prompts \textit{without model update}. Transformer-based wireless receivers, where prompts consist…

Information Theory · Computer Science 2024-11-13 Li Fan , Jing Yang , Cong Shen

Modern spacecraft communication systems rely on concatenated error correction schemes, typically combining convolutional and Reed-Solomon (RS) codes. This paper presents a decoder-side method that uses a machine learning model to estimate…

Information Theory · Computer Science 2025-09-12 Michael Greenwood , Robert Hunter

Transformer-based neural decoders have emerged as a promising approach to error correction coding, combining data-driven adaptability with efficient modeling of long-range dependencies. This paper presents a novel decoder architecture that…

Information Theory · Computer Science 2025-09-22 Chin Wa Lau , Xiang Shi , Ziyan Zheng , Haiwen Cao , Nian Guo

Consider the problem of identifying a massive number of bees, uniquely labeled with barcodes, using noisy measurements. We formally introduce this `bee-identification problem', define its error exponent, and derive efficiently computable…

Information Theory · Computer Science 2019-06-05 Anshoo Tandon , Vincent Y. F. Tan , Lav R. Varshney

In large scale distributed computing systems, communication overhead is one of the major bottlenecks. In the map-shuffle-reduce framework, which is one of the major distributed computing frameworks, the communication load among servers can…

Information Theory · Computer Science 2020-05-14 Shunsuke Horii

Motivated by recent developments in coding theory, particular in list-decoding, we introduce a new error model which we call semi-adversarial errors. This error model bridges between fully random errors and fully adversarial errors by…

Information Theory · Computer Science 2026-05-14 Joshua Brakensiek , Yeyuan Chen , Manik Dhar , Zihan Zhang

Intelligent systems must deploy internal representations that are simultaneously structured -- to support broad generalization -- and selective -- to preserve input identity. We expose a fundamental limit on this tradeoff. For any model…

This paper studies fingerprinting (traitor tracing) games in which the number of colluders and the collusion channel are unknown. The fingerprints are embedded into host sequences representing signals to be protected and provide the…

Information Theory · Computer Science 2011-05-26 Pierre Moulin

We study the problem of decoding classical information encoded on quantum states at the output of a quantum channel, with particular focus on increasing the communication rates towards the maximum allowed by Quantum Mechanics. After a brief…

Quantum Physics · Physics 2017-10-25 Matteo Rosati