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Deterministic linear network coding (DLNC) is an important family of network coding techniques for wireless packet broadcast. In this paper, we show that DLNC is strongly related to and can be effectively studied using matroid theory…

Information Theory · Computer Science 2015-06-04 Mingchao Yu , Parastoo Sadeghi , Neda Aboutorab

Recently, physical layer security in the optical layer has gained significant traction. Security treats in optical networks generally impact the reliability of optical transmission. Linear Network Coding (LNC) can protect from both the…

Cryptography and Security · Computer Science 2015-10-26 Anna Engelmann , Admela Jukan

Several types of AL-FEC (Application-Level FEC) codes for the Packet Erasure Channel exist. Random Linear Codes (RLC), where redundancy packets consist of random linear combinations of source packets over a certain finite field, are a…

Information Theory · Computer Science 2014-08-26 Kazuhisa Matsuzono , Vincent Roca , Hitoshi Asaeda

The problem of error correction in both coherent and noncoherent network coding is considered under an adversarial model. For coherent network coding, where knowledge of the network topology and network code is assumed at the source and…

Information Theory · Computer Science 2019-05-07 Danilo Silva , Frank R. Kschischang

We introduce RandRAND, a new class of randomized preconditioning methods for large-scale linear systems. RandRAND deflates the spectrum via efficient orthogonal projections onto random subspaces, without computing eigenpairs or low-rank…

Numerical Analysis · Mathematics 2025-09-25 Oleg Balabanov , Caleb Ju , Kaiwen He , Aryaman Jeendgar , Michael W. Mahoney

The problem of characterizing the optimal rate achievable with analog network coding (ANC) for a unicast communication over general wireless relay networks is computationally hard. A relay node performing ANC scales and forwards its input…

Information Theory · Computer Science 2014-11-03 Samar Agnihotri

We design a cross-layer approach to optimize the joint use of multi-packet reception and network coding, in order to relieve congestion. We construct a model for the behavior of the 802.11 MAC and apply it to several key canonical topology…

Networking and Internet Architecture · Computer Science 2011-02-01 Jason Cloud , Linda Zeger , Muriel Médard

Over-the-Air Computation (OAC) enables efficient data aggregation in large-scale distributed systems by exploiting the superposition property of wireless multiple-access channels. In contrast to most existing studies on OAC assuming exact…

Signal Processing · Electrical Eng. & Systems 2026-05-28 Martin Dahl , Zheng Chen , Erik G. Larsson

We study reliable communication in uncoordinated vehicular communication from the perspective of Shannon theory. Our system model for the information transmission is that of an Arbitrarily Varying Channel (AVC): One sender-receiver pair…

Information Theory · Computer Science 2019-06-06 Christian Arendt , Janis Nötzel , Holger Boche

Compute and Forward (CF) is a coding scheme which enables receivers to decode linear combinations of simultaneously transmitted messages while exploiting the linear properties of lattice codes and the additive nature of a shared medium. The…

Information Theory · Computer Science 2020-05-12 Ori Shmuel , Asaf Cohen , Omer Gurewitz

In this paper, we study fault-tolerant distributed consensus in wireless systems. In more detail, we produce two new randomized algorithms that solve this problem in the abstract MAC layer model, which captures the basic interface and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-09 Calvin Newport , Peter Robinson

We consider unsourced random access (uRA) in a cell-free (CF) user-centric wireless network, where a large number of potential users compete for a random access slot, while only a finite subset is active. The random access users transmit…

Information Theory · Computer Science 2025-05-01 Burak Çakmak , Eleni Gkiouzepi , Manfred Opper , Giuseppe Caire

This work presents the design and implementation of a real-time network coding system integrated into the IP layer of a 5G testbed, offering an alternative to conventional retransmission-based reliability mechanisms such as ARQ and HARQ.…

Networking and Internet Architecture · Computer Science 2025-08-15 Laura Landon , Vipindev Adat Vasudevan , Junmo Sung , Muriel Médard

Passive network tomography uses end-to-end observations of network communication to characterize the network, for instance to estimate the network topology and to localize random or adversarial glitches. Under the setting of linear network…

Networking and Internet Architecture · Computer Science 2016-11-15 Hongyi Yao , Sidharth Jaggi , Minghua Chen

In this paper we investigate the optimal latency of communications. Focusing on fixed rate communication without any feedback channel, this paper encompasses low-latency strategies with which one hop and multi-hop communication issues are…

Information Theory · Computer Science 2017-01-05 Minh Au , Francois Gagnon

In this paper, we propose a network coding (NC) based approach to ultra-reliable low-latency communication (URLLC) over erasure channels. In transmitting multiple data packets, we demonstrate that the use of random NC can improve the…

Information Theory · Computer Science 2021-11-23 Jinho Choi

This paper addresses the problem of reducing the delivery time of data messages to cellular users using instantly decodable network coding (IDNC) with physical-layer rate awareness. While most of the existing literature on IDNC does not…

Information Theory · Computer Science 2015-07-29 Ahmed Douik , Sameh Sorour , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

This paper applies Information Theoretic analysis to packet-based random multiple access communication systems. A new channel coding approach is proposed for coding within each data packet with built-in support for bursty traffic…

Information Theory · Computer Science 2016-11-17 Jie Luo , Anthony Ephremides

In this letter, we analyze the achievable rate of ultra-reliable low-latency communications (URLLC) in a randomly modeled wireless network. We use two mathematical tools to properly characterize the considered system: i) stochastic geometry…

Information Theory · Computer Science 2019-10-31 Jeonghun Park

We propose rectified factor networks (RFNs) to efficiently construct very sparse, non-linear, high-dimensional representations of the input. RFN models identify rare and small events in the input, have a low interference between code units,…

Machine Learning · Computer Science 2018-01-31 Djork-Arné Clevert , Andreas Mayr , Thomas Unterthiner , Sepp Hochreiter