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Suppose there are $N$ distributed databases each storing a full set of $M$ independent files. A user wants to retrieve $r$ out of the $M$ files without revealing the identity of the $r$ files. When $r=1$ it is the classic problem of private…

Information Theory · Computer Science 2017-04-12 Zhifang Zhang , Jingke Xu

In the private information retrieval (PIR) problem a user wishes to retrieve, as efficiently as possible, one out of $K$ messages from $N$ non-communicating databases (each holds all $K$ messages) while revealing nothing about the identity…

Information Theory · Computer Science 2017-02-28 Hua Sun , Syed A. Jafar

Private Information Retrieval (PIR) is a fundamental problem in the broader fields of security and privacy. In recent years, the problem has garnered significant attention from the research community, leading to achievability schemes and…

Information Theory · Computer Science 2025-02-21 Ningze Wang , Anoosheh Heidarzadeh , Alex Sprintson

We introduce the problem of random symmetric private information retrieval (RSPIR). In canonical PIR, a user downloads a message out of $K$ messages from $N$ non-colluding and replicated databases in such a way that no database can know…

Information Theory · Computer Science 2022-05-17 Zhusheng Wang , Sennur Ulukus

Private information retrieval (PIR) allows a user to retrieve a desired message from a set of databases without revealing the identity of the desired message. The replicated databases scenario was considered by Sun and Jafar, 2016, where…

Information Theory · Computer Science 2018-10-25 Mohamed Adel Attia , Deepak Kumar , Ravi Tandon

We study the problem of single-server single-message Private Information Retrieval with Private Coded Side Information (PIR-PCSI). In this problem, there is a server that stores a database, and a user who knows a random linear combination…

Information Theory · Computer Science 2019-01-29 Anoosheh Heidarzadeh , Fatemeh Kazemi , Alex Sprintson

Private information retrieval (PIR) is a mechanism for efficiently downloading messages while keeping the index of the desired message secret from the servers. PIR schemes have been extended to various scenarios with adversarial servers:…

Information Theory · Computer Science 2026-01-23 Atsushi Miki , Toshiyasu Matsushima

We present a private information retrieval (PIR) scheme that allows a user to retrieve a single message from an arbitrary number of databases by colluding with other users while hiding the desired message index. This scheme is of particular…

Information Theory · Computer Science 2020-10-29 William Barnhart , Zhi Tian

We consider a multi-user variant of the private information retrieval problem described as follows. Suppose there are $D$ users, each of which wants to privately retrieve a distinct message from a server with the help of a trusted agent. We…

Information Theory · Computer Science 2019-02-05 Anoosheh Heidarzadeh , Swanand Kadhe , Salim El Rouayheb , Alex Sprintson

In this paper, we consider the multi-server setting of Private Information Retrieval with Private Coded Side Information (PIR-PCSI) problem. In this problem, there is a database of $K$ messages whose copies are replicated across $N$…

Information Theory · Computer Science 2019-06-28 Fatemeh Kazemi , Esmaeil Karimi , Anoosheh Heidarzadeh , Alex Sprintson

Private information retrieval (PIR) protocols ensure that a user can download a file from a database without revealing any information on the identity of the requested file to the servers storing the database. While existing protocols…

Information Theory · Computer Science 2021-11-03 Hsuan-Yin Lin , Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat , Eitan Yaakobi

We formulate a new variant of the private information retrieval (PIR) problem where the user is pliable, i.e., interested in any message from a desired subset of the available dataset, denoted as pliable private information retrieval…

Information Theory · Computer Science 2022-06-14 Sarah A. Obead , Jörg Kliewer

This paper introduces a generalization of the Private Information Retrieval with Side Information (PIR-SI) problem called Popularity-Aware PIR-SI (PA-PIR-SI). The PA-PIR-SI problem includes one or more remote servers storing copies of a…

Information Theory · Computer Science 2022-05-17 Alejandro Gomez-Leos , Anoosheh Heidarzadeh

In recent years, the Multi-message Private Information Retrieval (MPIR) problem has received significant attention from the research community. In this problem, a user wants to privately retrieve $D$ messages out of $K$ messages whose…

Information Theory · Computer Science 2022-08-30 Ningze Wang , Anoosheh Heidarzadeh , Alex Sprintson

The problem of private information retrieval with graph-based replicated storage was recently introduced by Raviv, Tamo and Yaakobi. Its capacity remains open in almost all cases. In this work the asymptotic (large number of messages)…

Information Theory · Computer Science 2019-04-15 Zhuqing Jia , Syed A. Jafar

We consider the problem of $T$-Private Information Retrieval with private side information (TPIR-PSI). In this problem, $N$ replicated databases store $K$ independent messages, and a user, equipped with a local cache that holds $M$ messages…

Information Theory · Computer Science 2019-06-03 Zhen Chen , Zhiying Wang , Syed Jafar

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

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

Information-theoretically secure Symmetric Private Information Retrieval (SPIR) is known to be infeasible over noiseless channels with a single server. Known solutions to overcome this infeasibility involve additional resources such as…

Information Theory · Computer Science 2025-12-10 Remi A. Chou

A private information retrieval (PIR) protocol guarantees that a user can privately retrieve files stored in a database without revealing any information about the identity of the requested file. Existing information-theoretic PIR protocols…

Information Theory · Computer Science 2021-02-02 Hsuan-Yin Lin , Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat , Eitan Yaakobi