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This work presents a theoretical analysis of the probability of successfully retrieving data encoded with MDS codes (e.g., Reed-Solomon codes) in DNA storage systems. We study this probability under independent and identically distributed…

Information Theory · Computer Science 2026-05-08 Serge Kas Hanna

We study the problem of storing a data object in a set of data nodes that fail independently with given probabilities. Our problem is a natural generalization of a homogenous storage allocation problem where all the nodes had the same…

Information Theory · Computer Science 2012-02-09 Vasileios Ntranos , Giuseppe Caire , Alexandros G. Dimakis

This paper considers a distributed storage system, where multiple storage nodes can be reconstructed simultaneously at a centralized location. This centralized multi-node repair (CMR) model is a generalization of regenerating codes that…

Information Theory · Computer Science 2016-03-16 Ankit Singh Rawat , O. Ozan Koyluoglu , Sriram Vishwanath

In large scale distributed storage systems (DSS) deployed in cloud computing, correlated failures resulting in simultaneous failure (or, unavailability) of blocks of nodes are common. In such scenarios, the stored data or a content of a…

Information Theory · Computer Science 2017-02-22 Gokhan Calis , O. Ozan Koyluoglu

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…

Information Theory · Computer Science 2022-11-15 Jie Li , Xiaohu Tang , Hanxu Hou , Yunghsiang S. Han , Bo Bai , Gong Zhang

An $(n,k)$ maximum distance separable (MDS) code has optimal repair access if the minimum number of symbols accessed from $d$ surviving nodes is achieved, where $k+1\le d\le n-1$. Existing results show that the sub-packetization $\alpha$ of…

Information Theory · Computer Science 2019-07-24 Hanxu Hou , Patrick P. C. Lee , Yunghsiang S. Han

We examine the problem of allocating a given total storage budget in a distributed storage system for maximum reliability. A source has a single data object that is to be coded and stored over a set of storage nodes; it is allowed to store…

Information Theory · Computer Science 2016-11-15 Derek Leong , Alexandros G. Dimakis , Tracey Ho

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

Network transfer and disk read are the most time consuming operations in the repair process for node failures in erasure-code-based distributed storage systems. Recent developments on Reed-Solomon codes, the most widely used erasure codes…

Information Theory · Computer Science 2018-05-10 Hoang Dau , Iwan Duursma , Hien Chu

In large-scale distributed storage systems, erasure coding is employed to ensure reliability against disk failures. Recent work by Kadekodi et al. demonstrates that adapting code parameters to varying disk failure rates can lead to…

Information Theory · Computer Science 2025-08-11 Vinayak Ramkumar , Xiangliang Kong , G. Yeswanth Sai , Myna Vajha , M. Nikhil Krishnan

Heterogeneous Distributed Storage Systems (DSS) are close to real world applications for data storage. Internet caching system and peer-to-peer storage clouds are the examples of such DSS. In this work, we calculate the capacity formula for…

Information Theory · Computer Science 2014-02-18 Krishna Gopal Benerjee , Manish Kumar Gupta

We consider the problem of designing [n; k] linear codes for distributed storage systems (DSS) that satisfy the (r, t)-Local Repair Property, where any t'(<=t) simultaneously failed nodes can be locally repaired, each with locality r. The…

Information Theory · Computer Science 2015-07-30 Wentu Song , Chau Yuen

$\epsilon$-Minimum Storage Regenerating ($\epsilon$-MSR) codes form a special class of Maximum Distance Separable (MDS) codes, providing mechanisms for exact regeneration of a single code block in their codewords by downloading slighly…

Information Theory · Computer Science 2018-07-04 Venkatesan Guruswami , Satyanarayana V. Lokam , Sai Vikneshwar Mani Jayaraman

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…

Information Theory · Computer Science 2026-02-26 Joshua Brakensiek , Venkatesan Guruswami

Distributed storage systems and associated storage codes can efficiently store a large amount of data while ensuring that data is retrievable in case of node failure. The study of such systems, particularly the design of storage codes over…

Information Theory · Computer Science 2014-09-26 David Karpuk , Camilla Hollanti , Amaro Barreal

In this paper, we consider heterogeneous distributed storage systems (DSSs) having flexible reconstruction degree, where each node in the system has dynamic repair bandwidth and dynamic storage capacity. In particular, a data collector can…

Information Theory · Computer Science 2015-03-10 Krishna Gopal Benerjee , Manish K. Gupta

Despite their exceptional error-correcting properties, Reed-Solomon codes have been overlooked in distributed storage applications due to the common belief that they have poor repair bandwidth: A naive repair approach would require the…

Information Theory · Computer Science 2020-05-05 Hoang Dau , Iwan Duursma , Han Mao Kiah , Olgica Milenkovic

We consider {\it i)} the overhead minimization of maximum-distance separable (MDS) storage codes for the repair of a single failed node and {\it ii)} the total secure degrees-of-freedom (S-DoF) maximization in a multiple-access compound…

Information Theory · Computer Science 2015-03-17 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

Determinant codes are a class of exact-repair regenerating codes for distributed storage systems with parameters (n, k = d, d). These codes cover the entire trade-off between per-node storage and repair-bandwidth. In an earlier work of the…

Information Theory · Computer Science 2021-01-18 Mehran Elyasi , Soheil Mohajer

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…

Information Theory · Computer Science 2019-03-06 Saeid Sahraei , Michael Gastpar
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