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The problem of private information retrieval (PIR) is to retrieve one message out of $K$ messages replicated at $N$ databases, without revealing the identity of the desired message to the databases. We consider the problem of PIR with…

Information Theory · Computer Science 2017-10-04 Qiwen Wang , Mikael Skoglund

A $k$-server Private Information Retrieval (PIR) code is a binary linear $[m,s]$-code admitting a generator matrix such that for every integer $i$ with $1\le i\le s$ there exist $k$ disjoint subsets of columns (called recovery sets) that…

Information Theory · Computer Science 2021-07-05 Massimo Giulietti , Arianna Sabatini , Marco Timpanella

Private information retrieval (PIR) considers the problem of retrieving a data item from a database or distributed storage system without disclosing any information about which data item was retrieved. Secure PIR complements this problem by…

Information Theory · Computer Science 2024-08-02 Okko Makkonen , David Karpuk , Camilla Hollanti

We propose a private information retrieval (PIR) protocol for distributed storage systems with noncolluding nodes where data is stored using an arbitrary linear code. An expression for the PIR rate, i.e., the ratio of the amount of…

Information Theory · Computer Science 2018-06-01 Hsuan-Yin Lin , Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat

We consider the problems arising from the presence of Byzantine servers in a quantum private information retrieval (QPIR) setting. This is the first work to precisely define what the capabilities of Byzantine servers could be in a QPIR…

Information Theory · Computer Science 2024-05-08 Mohamed Nomeir , Alptug Aytekin , Sennur Ulukus

In this paper we study the problem of private information retrieval where a user seeks to retrieve one of the $F$ files from a cluster of $N$ non-colluding servers without revealing the identity of the requested file. In our setting the…

Information Theory · Computer Science 2021-03-18 Mohit Shrivastava , Pradeep Sarvepalli

We consider private information retrieval (PIR) for distributed storage systems (DSSs) with noncolluding nodes where data is stored using a non maximum distance separable (MDS) linear code. It was recently shown that if data is stored using…

Information Theory · Computer Science 2018-09-19 Hsuan-Yin Lin , Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat

We consider the problem of finding the asymptotic capacity of symmetric private information retrieval (SPIR) with $B$ Byzantine servers. Prior to finding the capacity, a definition for the Byzantine servers is needed since in the literature…

Information Theory · Computer Science 2025-01-29 Mohamed Nomeir , Alptug Aytekin , Sennur Ulukus

In this paper, the problem of providing privacy to users requesting data over a network from a distributed storage system (DSS) is considered. The DSS, which is considered as the multi-terminal destination of the network from the user's…

Information Theory · Computer Science 2019-06-24 Razane Tajeddine , Antonia Wachter-Zeh , Camilla Hollanti

A $(K, N, T, K_c)$ instance of the MDS-TPIR problem is comprised of $K$ messages and $N$ distributed servers. Each message is separately encoded through a $(K_c, N)$ MDS storage code. A user wishes to retrieve one message, as efficiently as…

Information Theory · Computer Science 2017-01-31 Hua Sun , Syed A. Jafar

We consider the problem of private information retrieval (PIR) from multiple storage nodes when the underlying database is encoded using regenerating codes, i.e., the database has the ability to recover from individual node failures. We…

Information Theory · Computer Science 2019-02-06 Adway Patra , Navin Kashyap

Private information retrieval (PIR) is the problem of retrieving as efficiently as possible, one out of $K$ messages from $N$ non-communicating replicated databases (each holds all $K$ messages) while keeping the identity of the desired…

Information Theory · Computer Science 2017-07-18 Hua Sun , Syed A. Jafar

In private information delivery (PID) problem, there are $K$ messages stored across $N$ servers, each capable of storing $M$ messages and a user. Servers want to convey one of the $K$ messages to the user without revealing the identity…

Information Theory · Computer Science 2022-02-09 Kanishak Vaidya , B Sundar Rajan

Private Computation (PC), recently introduced by Sun and Jafar, is a generalization of Private Information Retrieval (PIR) in which a user wishes to privately compute an arbitrary function of data stored across several servers. We construct…

Information Theory · Computer Science 2018-01-16 David Karpuk

Private Information Retrieval (PIR) is a mechanism for efficiently downloading messages while keeping the index secret. Here, PIRs in which servers do not communicate with each other are called standard PIRs, and PIRs in which some servers…

Information Theory · Computer Science 2024-10-15 Atsushi Miki , Yusuke Morishita , Toshiyasu Matsushima

We study private information retrieval (PIR) on coded data with possibly colluding servers. Devising PIR schemes with optimal download rate in the case of collusion and coded data is still open in general. We provide a lifting operation…

Information Theory · Computer Science 2018-05-30 Rafael G. L. D'Oliveira , Salim El Rouayheb

Private Information Retrieval (PIR) schemes allow a client to retrieve any file of interest, while hiding the file identity from the database servers. In contrast to most existing PIR schemes that assume honest-but-curious servers, we study…

Information Theory · Computer Science 2023-06-09 Stanislav Kruglik , Son Hoang Dau , Han Mao Kiah , Huaxiong Wang

In the era of extensive data growth, robust and efficient mechanisms are needed to store and manage vast amounts of digital information, such as Data Storage Systems (DSSs). Concurrently, privacy concerns have arisen, leading to the…

Quantum Physics · Physics 2023-12-14 Matteo Allaix

In this work, two practical concepts related to private information retrieval (PIR) are introduced and coined full support-rank PIR and strongly linear PIR. Being of full support-rank is a technical, yet natural condition required to prove…

Information Theory · Computer Science 2021-10-07 Lukas Holzbaur , Ragnar Freij-Hollanti , Jie Li , Camilla Hollanti

We study the role of coded side information in single-server Private Information Retrieval (PIR). An instance of the single-server PIR problem includes a server that stores a database of $K$ independently and uniformly distributed messages,…

Information Theory · Computer Science 2019-10-18 Anoosheh Heidarzadeh , Fatemeh Kazemi , Alex Sprintson