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The quantum capacity of a memoryless channel is often used as a single figure of merit to characterize its ability to transmit quantum information coherently. The capacity determines the maximal rate at which we can code reliably over…

量子物理 · 物理学 2016-05-10 Marco Tomamichel , Mario Berta , Joseph M. Renes

We examine an error-correcting coding framework in which each coded symbol is constrained to be a function of a fixed subset of the message symbols. With an eye toward distributed storage applications, we seek to design systematic codes…

信息论 · 计算机科学 2015-02-23 Wael Halbawi , Matthew Thill , Babak Hassibi

This paper considers rateless network error correction codes for reliable multicast in the presence of adversarial errors. Most existing network error correction codes are designed for a given network capacity and maximum number of errors…

信息论 · 计算机科学 2013-01-15 Wentao Huang , Tracey Ho , Hongyi Yao , Sidharth Jaggi

Computation codes in network information theory are designed for the scenarios where the decoder is not interested in recovering the information sources themselves, but only a function thereof. K\"orner and Marton showed for distributed…

信息论 · 计算机科学 2017-07-28 Jingge Zhu , Sung Hoon Lim , Michael Gastpar

Random linear codes are a workhorse in coding theory, and are used to show the existence of codes with the best known or even near-optimal trade-offs in many noise models. However, they have little structure besides linearity, and are not…

计算复杂性 · 计算机科学 2024-07-11 Venkatesan Guruswami , Jonathan Mosheiff

Random Linear Network Coding (RLNC) provides a theoretically efficient method for coding. Some of its practical drawbacks are the complexity of decoding and the overhead due to the coding vectors. For computationally weak and battery-driven…

网络与互联网体系结构 · 计算机科学 2015-09-16 Janus Heide , Morten V. Pedersen , Frank H. P. Fitzek , Muriel M edard

Departing from traditional communication theory where decoding algorithms are assumed to perform without error, a system where noise perturbs both computational devices and communication channels is considered here. This paper studies…

信息论 · 计算机科学 2010-05-31 Lav R. Varshney

Locally decodable channel codes form a special class of error-correcting codes with the property that the decoder is able to reconstruct any bit of the input message from querying only a few bits of a noisy codeword. It is well known that…

信息论 · 计算机科学 2013-08-28 Ali Makhdoumi , Shao-Lun Huang , Muriel Medard , Yury Polyanskiy

In this paper, we investigate optimal coding strategies for a class of linear deterministic relay networks. The network under study is a relay network, with one source, one destination, and two relay nodes. Additionally, there is a…

信息论 · 计算机科学 2010-01-14 S. M. Hossein Tabatabaei Yazdi , Mohammad Reza Aref

Sparse random linear network coding (SRLNC) is an attractive technique proposed in the literature to reduce the decoding complexity of random linear network coding. Recognizing the fact that the existing SRLNC schemes are not efficient in…

信息论 · 计算机科学 2013-11-12 Kaveh Mahdaviani , Raman Yazdani , Masoud Ardakani

Messages in communication networks often are considered as "discrete" taking values in some finite alphabet (e.g. a finite field). However, if we want to consider for example communication based on analogue signals, we will have to consider…

环与代数 · 数学 2015-07-07 Søren Riis

A characterization of systematic network coding over multi-hop wireless networks is key towards understanding the trade-off between complexity and delay performance of networks that preserve the systematic structure. This paper studies the…

网络与互联网体系结构 · 计算机科学 2016-11-18 Giuliano Giacaglia , Xiaomeng Shi , MinJi Kim , Daniel E. Lucani , Muriel Medard

We investigate joint network and channel coding schemes for networks when relay nodes are not capable of performing channel coding operations. Rather, channel encoding is performed at the source node while channel decoding is done only at…

信息论 · 计算机科学 2011-12-12 Sarah J. Johnson , Lawrence Ong , Christopher M. Kellett

For general connections, the problem of finding network codes and optimizing resources for those codes is intrinsically difficult and little is known about its complexity. Most of the existing solutions rely on very restricted classes of…

信息论 · 计算机科学 2015-03-02 Ying Cui , Muriel Médard , Edmund Yeh , Douglas Leith , Ken Duffy

We consider a network of two nodes separated by a noisy channel, in which the source and its reconstruction have to be strongly coordinated, while simultaneously satisfying the strong secrecy condition with respect to an outside observer of…

信息论 · 计算机科学 2020-09-04 Giulia Cervia , German Bassi , Mikael Skoglund

This paper studies the three-user finite-field multi-way relay channel, where the users exchange messages via a relay. The messages are arbitrarily correlated, and the finite-field channel is linear and is subject to additive noise of…

信息论 · 计算机科学 2013-09-18 Lawrence Ong , Gottfried Lechner , Sarah J. Johnson , Christopher M. Kellett

As the mobile application landscape expands, wireless networks are tasked with supporting different connection profiles, including real-time traffic and delay-sensitive communications. Among many ensuing engineering challenges is the need…

信息论 · 计算机科学 2014-03-31 Fatemeh Hamidi-Sepehr , Jean-Francois Chamberland , Henry D. Pfister

Random linear network coding (RLNC) is asymptotically throughput optimal in the wireless broadcast of a block of packets from a sender to a set of receivers, but suffers from heavy computational load and packet decoding delay. To mitigate…

信息论 · 计算机科学 2015-06-04 Mingchao Yu , Parastoo Sadeghi , Alex Sprintson

It is already known that in multicast (single source, multiple sinks) network, random linear network coding can achieve the maximum flow upper bound. In this paper, we investigate how random linear network coding behaves in general…

信息论 · 计算机科学 2012-10-09 Yuan Li

We consider the problem of stabilizing an unstable plant driven by bounded noise over a digital noisy communication link, a scenario at the heart of networked control. To stabilize such a plant, one needs real-time encoding and decoding…

信息论 · 计算机科学 2016-06-09 Anatoly Khina , Wael Halbawi , Babak Hassibi