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In a single hop broadcast packet erasure network, we demonstrate that it is possible to provide multirate packet delivery outside of what is given by the network min-cut. This is achieved by using a deterministic non-block-based network…

Information Theory · Computer Science 2014-01-06 Amy Fu , Parastoo Sadeghi , Muriel Medard

We consider coding schemes for computationally bounded channels, which can introduce an arbitrary set of errors as long as (a) the fraction of errors is bounded with high probability by a parameter $p$ and (b) the process which adds the…

Information Theory · Computer Science 2013-03-01 Venkatesan Guruswami , Adam Smith

Maximum distance separable erasure coding has been introduced in wireless networks based on random medium access protocols in order to recover collided and erased packets. So, this help to avoid retransmission process which weaken the…

Signal Processing · Electrical Eng. & Systems 2020-10-13 Mohamed Lamine Boucenna , Malek Benslama

We introduce a novel network-adaptive algorithm that is suitable for alleviating network packet losses for low-latency interactive communications between a source and a destination. Our network-adaptive algorithm estimates in real-time the…

Networking and Internet Architecture · Computer Science 2020-06-30 Salma Emara , Silas L. Fong , Baochun Li , Ashish Khisti , Wai-Tian Tan , Xiaoqing Zhu , John Apostolopoulos

MDS array codes are widely used in storage systems due to their computationally efficient encoding and decoding procedures. An MDS code with $r$ redundancy nodes can correct any $r$ node erasures by accessing all the remaining information…

Information Theory · Computer Science 2016-03-04 Zhiying Wang , Itzhak Tamo , Jehoshua Bruck

Spatially-Coupled LDPC (SC-LDPC) ensembles achieve the capacity of binary memoryless channels (BMS), asymptotically, under belief-propagation (BP) decoding. In this paper, we study the BP decoding of these code ensembles over a BMS channel…

Information Theory · Computer Science 2016-07-05 Vahid Aref , Narayanan Rengaswamy , Laurent Schmalen

Robust distributed storage systems dedicated to wireless sensor networks utilize several nodes to redundantly store sensed data so that when some storage nodes fail, the sensed data can still be reconstructed. For the same level of…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-16 Soji Omiwade , Rong Zheng

The column Hamming distance of a convolutional code determines the error correction capability when streaming over a class of packet erasure channels. We introduce a metric known as the column sum rank, that parallels column Hamming…

Information Theory · Computer Science 2016-04-19 Rafid Mahmood , Ahmed Badr , Ashish Khisti

We show that expander codes, when properly instantiated, are high-rate list recoverable codes with linear-time list recovery algorithms. List recoverable codes have been useful recently in constructing efficiently list-decodable codes, as…

Information Theory · Computer Science 2015-03-09 Brett Hemenway , Mary Wootters

A novel inter-frame coding approach to the problem of varying channel-state conditions in broadcast wireless communication is developed in this paper; this problem causes the appropriate code-rate to vary across different transmitted frames…

Information Theory · Computer Science 2015-11-11 Hady Zeineddine , Mohammad M. Mansour

We characterise the optimal broadcast rate for a few classes of pliable-index-coding problems. This is achieved by devising new lower bounds that utilise the set of absent receivers to construct decoding chains with skipped messages. This…

Information Theory · Computer Science 2019-10-02 Lawrence Ong , Badri N. Vellambi , Jörg Kliewer

The perceived quality of real-time media delivered over IP networks depends on both the rate and burstiness of packet loss. In this paper, we develop a new mathematical model for the residual burstiness of loss under erasure coding. We…

Information Theory · Computer Science 2019-11-11 Bobak McCann , Kerry Fendick

In this paper, we present an efficiently encodable and decodable code construction that is capable of correction a burst of deletions of length at most $k$. The redundancy of this code is $\log n + k(k+1)/2\log \log n+c_k$ for some constant…

Information Theory · Computer Science 2020-01-22 Andreas Lenz , Nikita Polyanskii

This article considers the performance of digital communication systems transmitting messages over finite-state erasure channels with memory. Information bits are protected from channel erasures using error-correcting codes; successful…

Information Theory · Computer Science 2013-09-10 Santhosh Kumar , Jean-Francois Chamberland , Henry D. Pfister

As video-streaming services have expanded and improved, cloud-based video has evolved into a necessary feature of any successful business for reaching internal and external audiences. In this paper, video streaming over distributed storage…

Networking and Internet Architecture · Computer Science 2018-06-26 Abubakr Alabbasi , Vaneet Aggarwal

Combinatorial batch codes were defined by Paterson, Stinson, and Wei as purely combinatorial versions of the batch codes introduced by Ishai, Kushilevitz, Ostrovsky, and Sahai. There are $n$ items and $m$ servers, each of which stores a…

Combinatorics · Mathematics 2018-08-20 JiYoon Jung , Carl Mummert , Elizabeth Niese , Michael W. Schroeder

MDS (maximum distance separable) array codes are widely used in storage systems due to their computationally efficient encoding and decoding procedures. An MDS code with r redundancy nodes can correct any r erasures by accessing (reading)…

Information Theory · Computer Science 2011-07-11 Zhiying Wang , Itzhak Tamo , Jehoshua Bruck

An erasure channel with a fixed alphabet size $q$, where $q \gg 1$, is studied. It is proved that over any erasure channel (with or without memory), Maximum Distance Separable (MDS) codes achieve the minimum probability of error (assuming…

Information Theory · Computer Science 2008-06-06 Shervan Fashandi , Shahab Oveis Gharan , Amir K. Khandani

The high repair cost of (n,k) Maximum Distance Separable (MDS) erasure codes has recently motivated a new class of codes, called Regenerating Codes, that optimally trade off storage cost for repair bandwidth. In this paper, we address…

Information Theory · Computer Science 2010-04-28 Changho Suh , Kannan Ramchandran

Coded computation is a framework which provides redundancy in distributed computing systems to speed up largescale tasks. Although most existing works assume an error-free scenarios in a master-worker setup, the link failures are common in…

Information Theory · Computer Science 2019-01-14 Dong-Jun Han , Jy-yong Sohn , Jaekyun Moon
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