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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

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 fundamental cryptographic primitive that enables users to retrieve data from a database without revealing which item is being accessed, thereby preserving query privacy. However, PIR protocols also…

Cryptography and Security · Computer Science 2025-09-18 Lin Zhu , Lingwei Kong , Xin Ning , Xiaoyang Qu , Jianzong Wang

Suppose a database containing $M$ records is replicated across $N$ 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 2018-05-08 Jingke Xu , Zhifang Zhang

We consider the problem of designing a Private Information Retrieval (PIR) scheme on $m$ files replicated on $k$ servers that can collude or, even worse, can return incorrect answers. Our goal is to correctly retrieve a specific message…

Information Theory · Computer Science 2023-05-08 Stanislav Kruglik , Son Hoang Dau , Han Mao Kiah , Huaxiong Wang

A private information retrieval (PIR) scheme allows a client to retrieve a data item $x_i$ among $n$ items $x_1,x_2,\ldots,x_n$ from $k$ servers, without revealing what $i$ is even when $t < k$ servers collude and try to learn $i$. Such a…

Cryptography and Security · Computer Science 2023-09-26 Quang Cao , Hong Yen Tran , Son Hoang Dau , Xun Yi , Emanuele Viterbo , Chen Feng , Yu-Chih Huang , Jingge Zhu , Stanislav Kruglik , Han Mao Kiah

Private information retrieval (PIR) protocols allow a user to retrieve entries of a database without revealing the index of the desired item. Information-theoretical privacy can be achieved by the use of several servers and specific…

Information Theory · Computer Science 2018-09-05 Julien Lavauzelle

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

Retrieving up-to-date information from a publicly accessible database poses significant threats to the user's privacy. {\em Private information retrieval} (PIR) protocols allow a user to retrieve any entry from a database, without revealing…

Cryptography and Security · Computer Science 2025-12-02 Liang Feng Zhang

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

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

Private Information Retrieval (PIR) is a privacy-preserving primitive in cryptography. Significant endeavors have been made to address the variant of PIR concerning the malicious servers. Among those endeavors, list-decodable Byzantine…

Cryptography and Security · Computer Science 2026-04-02 Pengzhen Ke , Liang Feng Zhang , Huaxiong Wang , Li-Ping Wang

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

We propose capacity-achieving schemes for private information retrieval (PIR) from uncoded databases (DBs) with both homogeneous and heterogeneous storage constraints. In the PIR setting, a user queries a set of DBs to privately download a…

Information Theory · Computer Science 2019-10-21 Nicholas Woolsey , Rong-Rong Chen , Mingyue Ji

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

Oblivious RAM (ORAM) and private information retrieval (PIR) are classic cryptographic primitives used to hide the access pattern to data whose storage has been outsourced to an untrusted server. Unfortunately, both primitives require…

Cryptography and Security · Computer Science 2019-04-12 Sarvar Patel , Giuseppe Persiano , Kevin Yeo

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

We propose an information-theoretic private information retrieval (PIR) scheme for distributed storage systems where data is stored using a linear systematic code of rate $R > 1/2$. The proposed scheme generalizes the PIR scheme for data…

Information Theory · Computer Science 2017-05-31 Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat

Private information retrieval (PIR) is a privacy setting that allows a user to download a required message from a set of messages stored in a system of databases without revealing the index of the required message to the databases. PIR was…

Information Theory · Computer Science 2023-04-28 Sajani Vithana , Zhusheng Wang , Sennur Ulukus

Private information retrieval (PIR) protocols allow a user to retrieve a data item from a database without revealing any information about the identity of the item being retrieved. Specifically, in information-theoretic $k$-server PIR, the…

Information Theory · Computer Science 2015-05-26 Arman Fazeli , Alexander Vardy , Eitan Yaakobi