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This paper addresses the problem of constructing secure exact-repair regenerating codes at the MSR point for all feasible values of the parameters. The setting involves a passive eavesdropper who is allowed to observe the stored contents…

Information Theory · Computer Science 2019-02-27 V. Arvind Rameshwar , Navin Kashyap

In distributed storage systems that employ erasure coding, the issue of minimizing the total {\it repair bandwidth} required to exactly regenerate a storage node after a failure arises. This repair bandwidth depends on the structure of the…

Information Theory · Computer Science 2011-06-10 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

To recover simultaneous multiple failures in erasure coded storage systems, Patrick Lee et al introduce concurrent repair based minimal storage regenerating codes to reduce repair traffic. The architecture of this approach is simpler and…

Information Theory · Computer Science 2016-04-25 Huayu Zhang , Hui Li , Hanxu Hou , K. W. Shum , ShuoYen Robert Li

This paper presents and analyzes a novel concatenated coding scheme for enabling error resilience in two distributed storage settings: one being storage using existing regenerating codes and the second being storage using locally repairable…

Information Theory · Computer Science 2013-12-12 Natalia Silberstein , Ankit Singh Rawat , Sriram Vishwanath

Consider a binary maximum distance separable (MDS) array code composed of an $m\times (k+r)$ array of bits with $k$ information columns and $r$ parity columns, such that any $k$ out of $k+r$ columns suffice to reconstruct the $k$…

Information Theory · Computer Science 2019-08-29 Hanxu Hou , Patrick P. C. Lee

We study the exact-repair tradeoff between storage and repair bandwidth in distributed storage systems (DSS). We give new inner bounds for the tradeoff region and provide code constructions that achieve these bounds.

Information Theory · Computer Science 2014-02-12 Sreechakra Goparaju , Salim El Rouayheb , Robert Calderbank

We consider the problem of multiple-node repair in distributed storage systems under the cooperative model, where the repair bandwidth includes the amount of data exchanged between any two different storage nodes. Recently, explicit…

Information Theory · Computer Science 2019-12-02 Min Ye

The repair bandwidth of a code is the minimum amount of data required to repair one or several failed nodes (erasures). For MDS codes, the repair bandwidth is bounded below by the so-called cut-set bound, and codes that meet this bound with…

Information Theory · Computer Science 2017-10-20 Min Ye , Alexander Barg

Regenerating codes enable trading off repair bandwidth for storage in distributed storage systems (DSS). Due to their distributed nature, these systems are intrinsically susceptible to attacks, and they may also be subject to multiple…

Information Theory · Computer Science 2014-07-10 O. Ozan Koyluoglu , Ankit Singh Rawat , Sriram Vishwanath

Exact-repair regenerating codes are considered for the case (n,k,d)=(4,3,3), for which a complete characterization of the rate region is provided. This characterization answers in the affirmative the open question whether there exists a…

Information Theory · Computer Science 2013-05-14 Chao Tian

This paper presents a novel coding scheme for distributed storage systems containing nodes with adversarial errors. The key challenge in such systems is the propagation of erroneous data from a single corrupted node to the rest of the…

Information Theory · Computer Science 2012-07-17 Natalia Silberstein , Ankit Singh Rawat , Sriram Vishwanath

In this paper, we discuss codes for distributed storage systems with hierarchical repair properties. Specifically, we devote attention to the repair problem of the rack-aware storage model with locality, aiming to enhance the system's…

Information Theory · Computer Science 2024-01-30 Yumeng Yang , Han Cai , Xiaohu Tang

Decoding and repair schemes are proposed for shift-exclusive-or (shift-XOR) product-matrix (PM) regenerating codes, which outperform the existing schemes in terms of both communication and computation costs. In particular, for the shift-XOR…

Information Theory · Computer Science 2020-05-05 Ximing Fu , Shenghao Yang , Zhiqing Xiao

We study exact-regenerating codes for entanglement-assisted distributed storage systems. Consider an $(n,k,d,\alpha,\beta_{\mathsf{q}},B)$ distributed system that stores a file of $B$ classical symbols across $n$ nodes with each node…

Information Theory · Computer Science 2026-05-13 Lei Hu , Mohamed Nomeir , Alptug Aytekin , Sennur Ulukus

Centralized repair refers to repairing $h\geq 2$ node failures using $d$ helper nodes in a centralized way, where the repair bandwidth is counted by the total amount of data downloaded from the helper nodes. A centralized MSR code is an MDS…

Information Theory · Computer Science 2024-02-06 Yaqian Zhang

Distributed data storage systems are essential to deal with the need to store massive volumes of data. In order to make such a system fault-tolerant, some form of redundancy becomes crucial, incurring various overheads - most prominently in…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-25 Frederique Oggier , Anwitaman Datta

In this paper, we propose locally repairable codes (LRCs) with optimal minimum distance for distributed storage systems (DSS). A two-layer encoding structure is employed to ensure data reconstruction and the designated repair locality. The…

Information Theory · Computer Science 2014-08-15 Hongmei Xie , Zhiyuan Yan

This paper presents an explicit construction of a class of optimal-access, minimum storage regenerating (MSR) codes, for small values of the number $d$ of helper nodes. The construction is valid for any parameter set $(n,k,d)$ with $d \in…

Information Theory · Computer Science 2021-09-23 Myna Vajha , S. B. Balaji , P. Vijay Kumar

Partial MDS (PMDS) and sector-disk (SD) codes are classes of erasure correcting codes that combine locality with strong erasure correction capabilities. We construct PMDS and SD codes with local regeneration where each local code is a…

Information Theory · Computer Science 2021-06-14 Lukas Holzbaur , Sven Puchinger , Eitan Yaakobi , Antonia Wachter-Zeh

Distributed storage plays a crucial role in the current cloud computing framework. After the theoretical bound for distributed storage was derived by the pioneer work of the regenerating code, Reed-Solomon code based regenerating codes were…

Cryptography and Security · Computer Science 2015-10-06 Jian Li , Tongtong Li , Jian Ren
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