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We investigate the use of maximum distance separable (MDS) codes to cache popular content to reduce the download delay of wireless content delivery. In particular, we consider a cellular system where devices roam in an out of a cell…

Information Theory · Computer Science 2017-01-09 Amina Piemontese , Alexandre Graell i Amat

In \textit{Distributed Storage Systems} (DSSs), usually, data is stored using replicated packets on different chunk servers. Recently a new paradigm of \textit{Fractional Repetition} (FR) codes have been introduced, in which, data is…

Information Theory · Computer Science 2017-11-27 Krishna Gopal Benerjee , Manish K Gupta

We consider the problem of designing codes for distributed storage that protect user data against eavesdroppers that can gain access to network links as well as individual nodes. Our goal is to achieve weak security (also known as block…

Information Theory · Computer Science 2017-10-19 Swanand Kadhe , Alex Sprintson

In modern distribution systems, load uncertainty can be fully captured by micro-PMUs, which can record high-resolution data; however, in practice, micro-PMUs are installed at limited locations in distribution networks due to budgetary…

Signal Processing · Electrical Eng. & Systems 2020-12-01 Fankun Bu , Kaveh Dehghanpour , Zhaoyu Wang

We consider the problem of constructing linear Maximum Distance Separable (MDS) error-correcting codes with generator matrices that are sparsest and balanced. In this context, sparsest means that every row has the least possible number of…

Information Theory · Computer Science 2016-01-28 Wael Halbawi , Zihan Liu , Babak Hassibi

In a distributed storage systems (DSS), regenerating codes are used to optimize bandwidth in the repair process of a failed node. To optimize other DSS parameters such as computation and disk I/O, Distributed Replication-based Simple…

Information Theory · Computer Science 2013-03-28 Srijan Anil , Manish K. Gupta , T. Aaron Gulliver

In this paper, we propose two novel modulation concepts based on a simple maximum distance separable (MDS) code { and show that these concepts can achieve better error performance than index modulation (IM) and related schemes.} In the…

Signal Processing · Electrical Eng. & Systems 2021-08-11 Ferhat Yarkin , Justin P. Coon

We consider the use of distributed storage (DS) to reduce the communication cost of content delivery in wireless networks. Content is stored (cached) in a number of mobile devices using an erasure correcting code. Users retrieve content…

Information Theory · Computer Science 2016-09-28 Jesper Pedersen , Alexandre Graell i Amat , Iryna Andriyanova , Fredrik Brännström

Regenerating codes are efficient methods for distributed storage in storage networks, where node failures are common. They guarantee low cost data reconstruction and repair through accessing only a predefined number of arbitrarily chosen…

Information Theory · Computer Science 2017-11-09 Kaveh Mahdaviani , Ashish Khisti , Soheil Mohajer

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

The locally repairable codes (LRCs) were introduced to correct erasures efficiently in distributed storage systems. LRCs are extensively studied recently. In this paper, we first deal with the open case remained in \cite{q} and derive an…

Information Theory · Computer Science 2015-06-17 Jun Zhang , Xin Wang , Gennian Ge

Regenerating codes are a class of distributed storage codes that optimally trade the bandwidth needed for repair of a failed node with the amount of data stored per node of the network. Minimum Storage Regenerating (MSR) codes minimize…

Information Theory · Computer Science 2011-07-27 K. V. Rashmi , Nihar B. Shah , P. Vijay Kumar

A number of governments and organizations around the world agree that the first step to address national and international problems such as energy independence, global warming or emergency resilience, is the redesign of electricity…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-05 Marıa Arenas-Martınez , Sergio Herrero-Lopez , Abel Sanchez , John R. Williams , Paul Roth , Paul Hofmann , Alexander Zeier

When a node in a distributed storage system fails, it needs to be promptly repaired to maintain system integrity. While typical erasure codes can provide a significant storage advantage over replication, they suffer from poor repair…

Information Theory · Computer Science 2018-07-10 Geonu Kim , Jungwoo Lee

An $(m,n,a,b)$-tensor code consists of $m\times n$ matrices whose columns satisfy `$a$' parity checks and rows satisfy `$b$' parity checks (i.e., a tensor code is the tensor product of a column code and row code). Tensor codes are useful in…

Information Theory · Computer Science 2022-12-05 Joshua Brakensiek , Sivakanth Gopi , Visu Makam

For high-rate maximum distance separable (MDS) codes, most of them are designed to optimally repair a single failed node by connecting all the surviving nodes. However, in practical systems, sometimes not all the surviving nodes are…

Information Theory · Computer Science 2021-07-22 Yi Liu , Jie Li , Xiaohu Tang

Maximum distance separable (MDS) and near maximum distance separable (NMDS) codes have been widely used in various fields such as communication systems, data storage, and quantum codes due to their algebraic properties and excellent…

Information Theory · Computer Science 2024-12-16 Yujie Zhi , Shixin Zhu

Maximum distance separable (MDS) codes have the optimal trade-off between storage efficiency and fault tolerance, which are widely used in distributed storage systems. As typical non-MDS codes, simple regenerating codes (SRCs) can achieve…

Information Theory · Computer Science 2023-09-06 Zhengyi Jiang , Hao Shi , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

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

We propose a new class of error correction codes for low-delay streaming communication. We consider an online setup where a source packet arrives at the encoder every $M$ channel uses, and needs to be decoded with a maximum delay of $T$…

Information Theory · Computer Science 2016-11-17 Ahmed Badr , Pratik Patil , Ashish Khisti , Wai-Tian Tan , John Apostolopoulos