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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

This paper revisits the problems of Private Information Retrieval (PIR) and Symmetric PIR (SPIR). In PIR, a user retrieves a desired message from $N$ replicated, non-communicating databases, each storing the same $M$ messages, while…

Information Theory · Computer Science 2025-09-03 Or Elimelech , Asaf Cohen

A functional $k$-PIR code of dimension $s$ consists of $n$ servers storing linear combinations of $s$ linearly independent information symbols. Any linear combination of the $s$ information symbols can be recovered by $k$ disjoint subsets…

Information Theory · Computer Science 2019-04-16 Yiwei Zhang , Eitan yaakobi , Tuvi Etzion

We investigate the problem of semantic private information retrieval (semantic PIR). In semantic PIR, a user retrieves a message out of $K$ independent messages stored in $N$ replicated and non-colluding databases without revealing the…

Information Theory · Computer Science 2020-03-31 Sajani Vithana , Karim Banawan , Sennur Ulukus

Private information retrieval (PIR) is a database query protocol that provides user privacy, in that the user can learn a particular entry of the database of his interest but his query would be hidden from the data centre. Symmetric private…

Quantum Physics · Physics 2021-01-19 Wen Yu Kon , Charles Ci Wen Lim

Motivated by an open problem and a conjecture, this work studies the problem of single server private information retrieval with private coded side information (PIR-PCSI) that was recently introduced by Heidarzadeh et al. The goal of…

Information Theory · Computer Science 2025-09-26 Yuxiang Lu , Syed Ali Jafar

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

The problem of $X$-secure $T$-private information retrieval from MDS coded storage is studied in this paper, where the user wishes to privately retrieve one out of $K$ independent messages that are distributed over $N$ servers according to…

Information Theory · Computer Science 2019-08-29 Zhuqing Jia , Syed A. Jafar

We propose a new capacity-achieving code for the private information retrieval (PIR) problem, and show that it has the minimum message size (being one less than the number of servers) and the minimum upload cost (being roughly linear in the…

Information Theory · Computer Science 2019-03-06 Chao Tian , Hua Sun , Jun Chen

Consider the problem of private information retrieval (PIR) over a distributed storage system where $M$ records are stored across $N$ servers by using an $[N,K]$ MDS code. For simplicity, this problem is usually referred as the coded PIR…

Information Theory · Computer Science 2019-01-18 Jingke Xu , Zhifang Zhang

In a typical formulation of the private information retrieval (PIR) problem, a single user wishes to retrieve one out of $ K$ files from $N$ servers without revealing the demanded file index to any server. This paper formulates an extended…

Information Theory · Computer Science 2024-08-26 Ali Gholami , Kai Wan , Tayyebeh Jahani-Nezhad , Hua Sun , Mingyue Ji , Giuseppe Caire

Distributed storage systems for large-scale applications typically use replication for reliability. Recently, erasure codes were used to reduce the large storage overhead, while increasing data reliability. A main limitation of…

Information Theory · Computer Science 2014-05-06 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

Petabyte-scale distributed storage systems are currently transitioning to erasure codes to achieve higher storage efficiency. Classical codes like Reed-Solomon are highly sub-optimal for distributed environments due to their high overhead…

Information Theory · Computer Science 2013-11-07 Itzhak Tamo , Dimitris S. Papailiopoulos , Alexandros G. Dimakis

This work considers the problem of privately outsourcing the computation of a matrix product over a finite field $\mathbb{F}_q$ to $N$ helper servers. These servers are considered to be honest but curious, i.e., they behave according to the…

Information Theory · Computer Science 2022-01-12 Jie Li , Okko Makkonen , Camilla Hollanti , Oliver Gnilke

In this paper we present an attack on a recently proposed code-based Private Information Retrieval (PIR) scheme. Indeed, the server can retrieve the index of the desired file with high probability in polynomial time. The attack relies on…

Cryptography and Security · Computer Science 2026-03-30 Luana Kurmann , Svenja Lage , Violetta Weger

Private information retrieval (PIR) is a cryptographic primitive that allows a client to securely query one or multiple servers without revealing their specific interests. In spite of their strong security guarantees, current PIR…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-14 Mpoki Mwaisela , Peterson Yuhala , Pascal Felber , Valerio Schiavoni

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 $r$ of the symbols from each of the $K$ stored messages in…

Information Theory · Computer Science 2017-12-20 Yi-Peng Wei , Karim Banawan , Sennur Ulukus

In this work private information retrieval (PIR) codes are studied. In a $k$-PIR code, $s$ information bits are encoded in such a way that every information bit has $k$ mutually disjoint recovery sets. The main problem under this paradigm…

Information Theory · Computer Science 2021-01-19 Sascha Kurz , Eitan Yaakobi

Quantum private information retrieval (QPIR) is a protocol in which a user retrieves one of multiple files from $\mathsf{n}$ non-communicating servers by downloading quantum systems without revealing which file is retrieved. As variants of…

Quantum Physics · Physics 2021-04-23 Seunghoan Song , Masahito Hayashi

A \emph{private proximity retrieval} (\emph{PPR}) scheme is a protocol which allows a user to retrieve the identities of all records in a database that are within some distance $r$ from the user's record $x$. The user's \emph{privacy} at…

Information Theory · Computer Science 2019-08-09 Yiwei Zhang , Eitan Yaakobi , Tuvi Etzion