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We show that locally repairable codes (LRCs) can be list decoded efficiently beyond the Johnson radius for a large range of parameters by utilizing the local error correction capabilities. The new decoding radius is derived and the…

信息论 · 计算机科学 2018-05-09 Lukas Holzbaur , Antonia Wachter-Zeh

Erasure codes are an efficient means of storing data across a network in comparison to data replication, as they tend to reduce the amount of data stored in the network and offer increased resilience in the presence of node failures. The…

信息论 · 计算机科学 2016-11-17 K. V. Rashmi , Nihar B. Shah , P. Vijay Kumar

We introduce the Fixed Cluster Repair System (FCRS) as a novel architecture for Distributed Storage Systems (DSS), achieving a small repair bandwidth while guaranteeing a high availability. Specifically we partition the set of servers in a…

信息论 · 计算机科学 2019-03-06 Saeid Sahraei , Michael Gastpar

Future systems based on nano-scale devices will provide great potentials for scaling up in system complexity, yet they will be highly susceptible to operational faults. While spare units can be generally used to enhance reliability, they…

硬件体系结构 · 计算机科学 2018-12-05 Soroush Khaleghi , Wenjing Rao

Motivated by applications in distributed storage, the notion of a locally recoverable code (LRC) was introduced a few years back. In an LRC, any coordinate of a codeword is recoverable by accessing only a small number of other coordinates.…

信息论 · 计算机科学 2023-08-01 Arya Mazumdar

We present a new class of irregular low-density parity-check (LDPC) codes for moderate block lengths (up to a few thousand bits) that are well-suited for rate-compatible puncturing. The proposed codes show good performance under puncturing…

信息论 · 计算机科学 2016-11-18 Jaehong Kim , Aditya Ramamoorthy , Steven W. McLaughlin

Erasure codes play an important role in storage systems to prevent data loss. In this work, we study a class of erasure codes called Multi-Erasure Locally Recoverable Codes (ME-LRCs) for storage arrays. Compared to previous related works,…

信息论 · 计算机科学 2017-09-29 Pengfei Huang , Eitan Yaakobi , Paul H. Siegel

In the modern era of large-scale computing systems, a crucial use of error correcting codes is to judiciously introduce redundancy to ensure recoverability from failure. To get the most out of every byte, practitioners and theorists have…

信息论 · 计算机科学 2026-02-26 Joshua Brakensiek , Venkatesan Guruswami

Erasure coding is widely used for massive storage in data centers to achieve high fault tolerance and low storage redundancy. Since the cross-rack communication cost is often high, it is critical to design erasure codes that minimize the…

信息论 · 计算机科学 2019-02-26 Hanxu Hou , Patrick P. C. Lee , Kenneth W. Shum , Yuchong Hu

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…

信息论 · 计算机科学 2014-08-26 Kazuhisa Matsuzono , Vincent Roca , Hitoshi Asaeda

Partial maximum distance separable (PMDS) codes are a kind of erasure codes where the nodes are divided into multiple groups with each forming an MDS code with a smaller code length, thus they allow repairing a failed node with only a few…

信息论 · 计算机科学 2022-11-15 Jie Li , Xiaohu Tang , Hanxu Hou , Yunghsiang S. Han , Bo Bai , Gong Zhang

In modern practical data centers, storage nodes are usually organized into equally sized groups, which is called racks. The cost of cross-rack communication is much more expensive compared with the intra-rack communication cost. The codes…

信息论 · 计算机科学 2019-11-20 Lingfei Jin , Gaojun Luo , Chaoping Xing

Locally repairable codes (LRCs) have gained significant interest for the design of large distributed storage systems as they allow a small number of erased nodes to be recovered by accessing only a few others. Several works have thus been…

信息论 · 计算机科学 2019-06-07 Matthias Grezet , Ragnar Freij-Hollanti , Thomas Westerbäck , Camilla Hollanti

Cyclic liftings are proposed to lower the error floor of low-density parity-check (LDPC) codes. The liftings are designed to eliminate dominant trapping sets of the base code by removing the short cycles which form the trapping sets. We…

信息论 · 计算机科学 2010-02-24 Reza Asvadi , Amir H. Banihashemi , Mahmoud Ahmadian-Attari

Recent studies have delved into the construction of locally repairable codes (LRCs) with optimal minimum distance from function fields. In this paper, we present several novel constructions by extending the findings of optimally designed…

信息论 · 计算机科学 2025-02-03 Yunlong Zhu , Chang-An Zhao

In large data centers, storage nodes are organized in racks, and the cross-rack transmission dominates the bandwidth cost. For the repair of single node failures, codes achieving the tradeoff between the storage redundancy and cross-rack…

信息论 · 计算机科学 2022-05-19 Liyang Zhou , Zhifang Zhang

We study the problem of centralized exact repair of multiple failures in distributed storage. We describe constructions that achieve a new set of interior points under exact repair. The constructions build upon the layered code construction…

信息论 · 计算机科学 2018-02-02 Marwen Zorgui , Zhiying Wang

To achieve reliability in distributed storage systems, data has usually been replicated across different nodes. However the increasing volume of data to be stored has motivated the introduction of erasure codes, a storage efficient…

分布式、并行与集群计算 · 计算机科学 2012-08-06 Lluis Pamies-Juarez , Anwitaman Datta , Frederique Oggier

In general, array codes consist of $m\times n$ arrays and in many cases, the arrays satisfy parity constraints along lines of different slopes (generally with a toroidal topology). Such codes are useful for RAID type of architectures, since…

信息论 · 计算机科学 2019-07-25 Mario Blaum , Steven R. Hetzler

Cooperative regenerating codes are regenerating codes designed to tradeoff storage for repair bandwidth in case of multiple node failures. Minimum storage cooperative regenerating (MSCR) codes are a class of cooperative regenerating codes…

信息论 · 计算机科学 2019-01-29 Bh. Rekha Devi , V. Lalitha