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Packet erasure codes are today a real alternative to replication in fault tolerant distributed storage systems. In this paper, we propose the Mojette erasure code based on the Mojette transform, a formerly tomographic tool. The performance…

Information Theory · Computer Science 2015-04-28 Dimitri Pertin , Didier Féron , Alexandre Van Kempen , Benoît Parrein

Coding for distributed storage gives rise to a new set of problems in coding theory related to the need of reducing inter-node communication in the system. A large number of recent papers addressed the problem of optimizing the total amount…

Information Theory · Computer Science 2017-06-02 Itzhak Tamo , Min Ye , Alexander Barg

In the information explosion era, the demand for high-density stable storage technologies is soaring. Multi-dimensional optical storage with femtosecond laser writing offers a potential solution for massive data storage. However, equipment…

Distributed storage systems for large-scale applications typically use replication for reliability. Recently, erasure codes were used to reduce the large storage overhead, while increasing data reliability. A main limitation of…

Information Theory · Computer Science 2014-05-06 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

Minimum storage regenerating codes have minimum storage of data in each node and therefore are maximal distance separable (MDS for short) codes. Thus, the number of nodes is upper bounded by $2^{\fb}$, where $\fb$ is the bits of data stored…

Information Theory · Computer Science 2017-10-06 Lingfei Jin , Yuan Luo , Chaoping Xing

Erasure coding has been recognized as a powerful method to mitigate delays due to slow or straggling nodes in distributed systems. This work shows that erasure coding of data objects can flexibly handle skews in the request rates. Coding…

Information Theory · Computer Science 2021-06-29 Mehmet Aktas , Gauri Joshi , Swanand Kadhe , Fatemeh Kazemi , Emina Soljanin

We address the use of maximum distance separable (MDS) codes for distributed storage (DS) to enable efficient content delivery in wireless networks. Content is stored in a number of the mobile devices and can be retrieved from them using…

Information Theory · Computer Science 2016-08-30 Amina Piemontese , Alexandre Graell i Amat

We introduce $\textit{sorted weight sectioning}$ (SWS): a weight allocation algorithm that places sorted deep neural network (DNN) weight sections on bit-sliced compute-in-memory (CIM) crossbars to reduce analog-to-digital converter (ADC)…

Hardware Architecture · Computer Science 2025-07-10 Matheus Farias , H. T. Kung

Erasure coding is a storage-efficient alternative to replication for achieving reliable data backup in distributed storage systems. During the storage process, traditional erasure codes require a unique source node to create and upload all…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Lluis Pamies-Juarez , Anwitaman Datta , Frédérique Oggier

Erasure codes are a critical component in reliable storage systems today, and many blockchain systems use consensus protocols that involve erasure codes to reduce their communication cost. Existing erasure codes rely on a threshold failure…

Information Theory · Computer Science 2026-05-22 Vivien Bammert , Annalisa Cimatti , Orestis Alpos , Giuliano Losa , Christian Cachin

A distributed quantum storage code maps a quantum message to N storage nodes, of arbitrary specified sizes, such that the stored message is robust to an arbitrary specified set of erasure patterns. The sizes of the storage nodes, and…

Information Theory · Computer Science 2025-10-14 Hua Sun , Syed A. Jafar

In large-scale distributed storage systems (DSS), reliability is provided by redundancy spread over storage servers across the Internet. Network coding (NC) has been widely studied in DSS because it can improve the reliability with low…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-17 Chengjin Jia , Jin Wang , Yanqin Zhu , Xin Wang , Kejie Lu , Xiumin Wang , Zhengqing Wen

Minimum storage regenerating (MSR) codes are a class of maximum distance separable (MDS) array codes capable of repairing any single failed node by downloading the minimum amount of information from each of the helper nodes. However, MSR…

Information Theory · Computer Science 2024-08-30 Vinayak Ramkumar , Netanel Raviv , Itzhak Tamo

The reliability of erasure-coded distributed storage systems, as measured by the mean time to data loss (MTTDL), depends on the repair bandwidth of the code. Repair-efficient codes provide reliability values several orders of magnitude…

Information Theory · Computer Science 2017-08-04 Vaneet Aggarwal , Chao Tian , Vinay A. Vaishampayan , Yih-Farn R. Chen

Recently, DNA storage has surfaced as a promising alternative for data storage, presenting notable benefits in terms of storage capacity, cost-effectiveness in maintenance, and the capability for parallel replication. Mathematically, the…

Information Theory · Computer Science 2024-01-31 Yi Lu , Yun Ma , Chenghao Li , Xin Zhang , Guangxiang Si

In this paper, we investigate a joint device activity detection (DAD), channel estimation (CE), and data decoding (DD) algorithm for multiple-input multiple-output (MIMO) massive unsourced random access (URA). Different from the…

Information Theory · Computer Science 2021-12-20 Tianya Li , Yongpeng Wu , Mengfan Zheng , Wenjun Zhang , Chengwen Xing , Jianping An , Xiang-Gen Xia , Chengshan Xiao

Traditionally, multi-trial error/erasure decoding of Reed-Solomon (RS) codes is based on Bounded Minimum Distance (BMD) decoders with an erasure option. Such decoders have error/erasure tradeoff factor L=2, which means that an error is…

Information Theory · Computer Science 2015-03-19 Christian Senger , Vladimir R. Sidorenko , Martin Bossert , Victor V. Zyablov

The continuously increasing amount of digital data generated by today's society asks for better storage solutions. This survey looks at a new generation of coding techniques designed specifically for the needs of distributed networked…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-31 Anwitaman Datta , Frederique Oggier

Regenerating codes allow distributed storage systems to recover from the loss of a storage node while transmitting the minimum possible amount of data across the network. We present a systematic computer search for optimal systematic…

Information Theory · Computer Science 2009-10-14 Daniel Cullina , Alexandros G. Dimakis , Tracey Ho

We propose a coded computing strategy and examine communication costs of coded computing algorithms to make distributed Fast Fourier Transform (FFT) resilient to errors during the computation. We apply maximum distance separable (MDS) codes…

Information Theory · Computer Science 2018-05-28 Haewon Jeong , Tze Meng Low , Pulkit Grover