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Symbol-pair code is a new coding framework which is proposed to correct errors in the symbol-pair read channel. In particular, maximum distance separable (MDS) symbol-pair codes are a kind of symbol-pair codes with the best possible…

Information Theory · Computer Science 2016-08-10 Shuxing Li , Gennian Ge

The distributed data storage systems are constructed by large number of nodes which are interconnected over a network. Each node in such peer-to-peer network is vulnerable and at a potential risk for attack. The attackers can eavesdrop the…

Information Theory · Computer Science 2016-02-08 Ninoslav Marina , Aneta Velkoska , Natasa Paunkoska

A 2-server Private Information Retrieval (PIR) scheme allows a user to retrieve the $i$th bit of an $n$-bit database replicated among two servers (which do not communicate) while not revealing any information about $i$ to either server. In…

Computational Complexity · Computer Science 2014-07-25 Zeev Dvir , Sivakanth Gopi

Recently, information-theoretic private information retrieval (PIR) from coded storage systems has gained a lot of attention, and a general star product PIR scheme was proposed. In this paper, the star product scheme is adopted, with…

Information Theory · Computer Science 2019-10-14 Lukas Holzbaur , Ragnar Freij-Hollanti , Antonia Wachter-Zeh , Camilla Hollanti

We investigate the service-rate region (SRR) of distributed storage systems that employ linear codes. We focus on systems where each server stores one code symbol, and a user recovers a data symbol by accessing any of its recovery groups,…

Information Theory · Computer Science 2025-09-30 Hoang Ly , Emina Soljanin

In this paper, we investigate maximum distance separable (MDS) codes based group coded caching in fog radio access networks (F-RANs). The goal is to minimize the average fronthaul rate under nonuniform file popularity. Firstly, an MDS codes…

Information Theory · Computer Science 2022-06-24 Qianli Tan , Yanxiang Jiang , Fu-Chun Zheng , Mehdi Bennis , Xiaohu You

Maximum-distance-separable (MDS) codes are a class of erasure codes that are widely adopted to enhance the reliability of distributed storage systems (DSS). In (n, k) MDS coded DSS, the original data are stored into n distributed nodes in…

Information Theory · Computer Science 2017-06-16 Sheng Guan , Haibin Kan , Xin Wang

We study the symmetric private information retrieval (SPIR) problem under arbitrary collusion and eavesdropping patterns for replicated databases. We find its capacity, which is the same as the capacity of the original SPIR problem with the…

Information Theory · Computer Science 2020-10-19 Jiale Cheng , Nan Liu , Wei Kang

Private Information Retrieval (PIR), despite being well studied, is computationally costly and arduous to scale. We explore lower-cost relaxations of information-theoretic PIR, based on dummy queries, sparse vectors, and compositions with…

Information Retrieval · Computer Science 2016-04-04 Raphael R. Toledo , George Danezis , Ian Goldberg

Quantum private information retrieval (QPIR) is a protocol in which a user retrieves one of multiple classical files by downloading quantum systems from non-communicating $\mathsf{n}$ servers each of which contains a copy of all files,…

Quantum Physics · Physics 2021-02-02 Seunghoan Song , Masahito Hayashi

We study the problem of pliable private information retrieval with side information (PPIR-SI) for the single server case. In PPIR, the messages are partitioned into nonoverlapping classes and stored in a number of noncolluding databases.…

Information Theory · Computer Science 2023-10-05 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes

Clustered distributed storage models real data centers where intra- and cross-cluster repair bandwidths are different. In this paper, exact-repair minimum-storage-regenerating (MSR) codes achieving capacity of clustered distributed storage…

Information Theory · Computer Science 2018-01-09 Jy-yong Sohn , Beongjun Choi , Jaekyun Moon

We introduce the problem of Private Linear Transformation (PLT). This problem includes a single (or multiple) remote server(s) storing (identical copies of) $K$ messages and a user who wants to compute $L$ linear combinations of a…

Information Theory · Computer Science 2021-02-07 Nahid Esmati , Anoosheh Heidarzadeh , Alex Sprintson

We consider the problem of private information retrieval (PIR) with colluding servers and eavesdroppers (abbreviated as ETPIR). The ETPIR problem is comprised of $K$ messages, $N$ servers where each server stores all $K$ messages, a user…

Information Theory · Computer Science 2018-11-26 Qiwen Wang , Hua Sun , Mikael Skoglund

Maximum distance separable (MDS) codes are widely used in storage systems to protect against disk (node) failures. A node is said to have capacity $l$ over some field $\mathbb{F}$, if it can store that amount of symbols of the field. An…

Information Theory · Computer Science 2016-11-17 Itzhak Tamo , Zhiying Wang , Jehoshua Bruck

Binary maximum distance separable (MDS) array codes are a special class of erasure codes for distributed storage that not only provide fault tolerance with minimum storage redundancy but also achieve low computational complexity. They are…

Information Theory · Computer Science 2019-06-24 Hanxu Hou , Yunghsiang Han , Patrick P. C. Lee , Yuchong Hu , Hui Li

We consider the problem of private information retrieval (PIR) from $N$ non-colluding and replicated databases when the user is equipped with a cache that holds an uncoded fraction $r$ from each of the $K$ stored messages in the databases.…

Information Theory · Computer Science 2017-09-05 Yi-Peng Wei , Karim Banawan , Sennur Ulukus

Private information retrieval (PIR) addresses the problem of retrieving a desired message from distributed databases without revealing which message is being requested. Recent works have shown that cross-subspace alignment (CSA) codes…

Algebraic Geometry · Mathematics 2025-08-28 Francesco Ghiandoni , Massimo Giulietti , Enrico Mezzano , Marco Timpanella

We study the problem of Private Information Retrieval (PIR) in the presence of prior side information. The problem setup includes a database of $K$ independent messages possibly replicated on several servers, and a user that needs to…

Information Theory · Computer Science 2017-09-04 Swanand Kadhe , Brenden Garcia , Anoosheh Heidarzadeh , Salim El Rouayheb , Alex Sprintson

A private information retrieval scheme is a mechanism that allows a user to retrieve any one out of $K$ messages from $N$ non-communicating replicated databases, each of which stores all $K$ messages, without revealing anything about the…

Information Theory · Computer Science 2016-10-11 Hua Sun , Syed A. Jafar
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