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Erasure codes are widely used in today's storage systems to cope with failures. Most of them use the finite field arithmetic. In this paper, we propose an implementation and a coding speed evaluation of an original method called PYRIT…

Information Theory · Computer Science 2017-09-04 Jonathan Detchart , Jérôme Lacan

This paper presents a new achievable scheme for coded caching systems with $\mathsf{N}$ files, $\mathsf{K}=\mathsf{N}$ users, and cache size $\mathsf{M}=1/(\mathsf{N}-1)$. The scheme employs linear coding during the cache placement phase,…

Information Theory · Computer Science 2024-06-11 Yinbin Ma , Daniela Tuninetti

Fountain codes are becoming increasingly important for data transferring over dedicated high-speed long-distance network. However, the encoding and decoding complexity of traditional fountain codes such as LT and Raptor codes are still…

Networking and Internet Architecture · Computer Science 2013-05-13 Jianxin Liao , Lei Zhang , Xiaomin Zhu , Jingyu Wang , Minyan Liao

As consumers are increasingly engaged in social networking and E-commerce activities, businesses grow to rely on Big Data analytics for intelligence, and traditional IT infrastructures continue to migrate to the cloud and edge, these trends…

Networking and Internet Architecture · Computer Science 2020-05-25 Vaneet Aggarwal , Tian Lan

Cloud computing facilitates the access of applications and data from any location by a distributed storage system. Erasure codes offer better data replication technique with reduced storage costs for more reliability. This paper considers…

Information Theory · Computer Science 2021-02-04 Srujan Teja Thomdapu , Ketan Rajawat

Classical erasure codes, e.g. Reed-Solomon codes, have been acknowledged as an efficient alternative to plain replication to reduce the storage overhead in reliable distributed storage systems. Yet, such codes experience high overhead…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-20 Anne-Marie Kermarrec , Erwan Le Merrer , Gilles Straub , Alexandre van Kempen

A novel fountain coding scheme has been introduced. The scheme consists of a parallel concatenation of a MDS block code with a LRFC code, both constructed over the same field, $F_q$. The performance of the concatenated fountain coding…

Information Theory · Computer Science 2011-11-15 Francisco Lazaro Blasco , Gianluigi Liva

Distributed storage systems provide reliable access to data through redundancy spread over individually unreliable nodes. Application scenarios include data centers, peer-to-peer storage systems, and storage in wireless networks. Storing…

Networking and Internet Architecture · Computer Science 2008-03-06 Alexandros G. Dimakis , P. Brighten Godfrey , Yunnan Wu , Martin J. Wainwright , Kannan Ramchandran

Erasure codes are an integral part of many distributed storage systems aimed at Big Data, since they provide high fault-tolerance for low overheads. However, traditional erasure codes are inefficient on reading stored data in degraded…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-27 Kyumars Sheykh Esmaili , Lluis Pamies-Juarez , Anwitaman Datta

Distributed storage systems often introduce redundancy to increase reliability. When coding is used, the repair problem arises: if a node storing encoded information fails, in order to maintain the same level of reliability we need to…

Information Theory · Computer Science 2010-04-27 Alexandros G. Dimakis , Kannan Ramchandran , Yunnan Wu , Changho Suh

The exponential growth in data generation and large-scale data analysis creates an unprecedented need for inexpensive, low-latency, and high-density information storage. This need has motivated significant research into multi-level memory…

The exponential growth of data necessitates distributed storage models, such as peer-to-peer systems and data federations. While distributed storage can reduce costs and increase reliability, the heterogeneity in storage capacity, I/O…

Coded caching is a recently proposed technique that achieves significant performance gains for cache networks compared to uncoded caching schemes. However, this substantial coding gain is attained at the cost of large delivery delay, which…

Information Theory · Computer Science 2016-11-15 Urs Niesen , Mohammad Ali Maddah-Ali

Distributed storage codes have important applications in the design of modern storage systems. In a distributed storage system, every storage node has a probability to fail and once an individual storage node fails, it must be reconstructed…

Information Theory · Computer Science 2016-10-27 Chong Shangguan , Gennian Ge

Products codes (PCs) are conventionally decoded with efficient iterative bounded-distance decoding (iBDD) based on hard-decision channel outputs which entails a performance loss compared to a soft-decision decoder. Recently, several hybrid…

Information Theory · Computer Science 2022-11-22 Sisi Miao , Lukas Rapp , Laurent Schmalen

Shaping codes are used to generate code sequences in which the symbols obey a prescribed probability distribution. They arise naturally in the context of source coding for noiseless channels with unequal symbol costs. Recently, shaping…

Information Theory · Computer Science 2022-05-10 Yi Liu , Yonglong Li , Pengfei Huang , Paul H. Siegel

Spatially-coupled (SC) codes, known for their threshold saturation phenomenon and low-latency windowed decoding algorithms, are ideal for streaming applications and data storage systems. SC codes are constructed by partitioning an…

Information Theory · Computer Science 2021-09-21 Siyi Yang , Ahmed Hareedy , Robert Calderbank , Lara Dolecek

Coded distributed computing introduced by Li et al. in 2015 is an efficient approach to trade computing power to reduce the communication load in general distributed computing frameworks such as MapReduce. In particular, Li et al. show that…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-13 Nicholas Woolsey , Rong-Rong Chen , Mingyue Ji

Introducing cooperative coded caching into small cell networks is a promising approach to reducing traffic loads. By encoding content via maximum distance separable (MDS) codes, coded fragments can be collectively cached at small-cell base…

Information Theory · Computer Science 2020-06-25 Xiongwei Wu , Jun Li , Ming Xiao , P. C. Ching , H. Vincent Poor

We consider a geographically constrained caching community where popular data files are cached on mobile terminals and distributed through Device-to-Device (D2D) communications. Further, to ensure availability, data files are protected…

Networking and Internet Architecture · Computer Science 2016-05-31 Joonas Pääkkönen , Amaro Barreal , Camilla Hollanti , Olav Tirkkonen