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Suppose a database containing $M$ records is replicated in each of $N$ servers, and a user wants to privately retrieve one record by accessing the servers such that identity of the retrieved record is secret against any up to $T$ servers. A…

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

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

This work presents an algorithmic framework that uses linear programming to construct \emph{addition-based Private Information Retrieval (AB-PIR)} schemes, where retrieval is performed by downloading only linear combinations of message…

Information Theory · Computer Science 2025-01-22 Anoosheh Heidarzadeh , Ningze Wang , Alex Sprintson

Private information retrieval from a single server is considered, utilizing random linear codes. Presented is a modified version of the first code-based single-server computational PIR scheme proposed by Holzbaur, Hollanti, and Wachter-Zeh…

Information Theory · Computer Science 2025-05-07 Neehar Verma , Camilla Hollanti

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

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

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

The notion of a Private Information Retrieval (PIR) code was recently introduced by Fazeli, Vardy and Yaakobi who showed that this class of codes permit PIR at reduced levels of storage overhead in comparison with replicated-server PIR. In…

Information Theory · Computer Science 2017-03-20 Myna Vajha , Vinayak Ramkumar , P. Vijay Kumar

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

A Batch Private Information Retrieval (batch-PIR) scheme allows a client to retrieve multiple data items from a database without revealing them to the storage server(s). Most existing approaches for batch-PIR are based on batch codes, in…

Data Structures and Algorithms · Computer Science 2024-06-05 Son Hoang Dau , Quang Cao , Rinaldo Gagiano , Duy Huynh , Xun Yi , Phuc Lu Le , Quang-Hung Luu , Emanuele Viterbo , Yu-Chih Huang , Jingge Zhu , Mohammad M. Jalalzai , Chen Feng

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 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

We propose three private information retrieval (PIR) protocols for distributed storage systems (DSSs) where data is stored using an arbitrary linear code. The first two protocols, named Protocol 1 and Protocol 2, achieve privacy for the…

Information Theory · Computer Science 2019-02-12 Siddhartha Kumar , Hsuan-Yin Lin , Eirik Rosnes , Alexandre Graell i Amat

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 consider the problem of private information retrieval (PIR) of a single message out of $K$ messages from $N$ non-colluding and non-replicated databases. Different from the majority of the existing literature, which considers the case of…

Information Theory · Computer Science 2019-01-03 Karim Banawan , Sennur Ulukus

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

We consider the problem of private information retrieval (PIR) where a single user with private side information aims to retrieve multiple files from a library stored (uncoded) at a number of servers. We assume the side information at the…

Information Theory · Computer Science 2018-05-31 Seyed Pooya Shariatpanahi , Mahdi Jafari Siavoshani , Mohammad Ali Maddah-Ali

In a User-Private Information Retrieval (UPIR) scheme, a set of users collaborate to retrieve files from a database without revealing to observers which participant in the scheme requested the file. Protocols have been proposed based on…

Information Theory · Computer Science 2017-07-07 Oliver Gnilke , Marcus Greferath , Camilla Hollanti , Guillermo Nuñez Ponasso , Padraig Ó Catháin , Eric Swartz

We consider the problem of multi-access cache-aided multi-user Private Information Retrieval (MuPIR). In this problem, several files are replicated across multiple servers. There are $K$ users and $C$ cache nodes. Each user can access $L$…

Information Theory · Computer Science 2022-02-11 Kanishak Vaidya , B Sundar Rajan

Private Information Retrieval (PIR) allows a client to privately access a database without revealing which element is accessed. Initial PIR protocols based on Ring Learning with Errors (RLWE) demonstrated the practicality of PIR, but…

Cryptography and Security · Computer Science 2026-03-11 Rasoul Akhavan Mahdavi , Abdulrahman Diaa , Florian Kerschbaum