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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 study the problem of semantic private information retrieval (Sem-PIR) with $T$ colluding servers (Sem-TPIR), i.e., servers that collectively share user queries. In Sem-TPIR, the message sizes are different, and message retrieval…

Information Theory · Computer Science 2025-07-22 Mohamed Nomeir , Alptug Aytekin , Sennur Ulukus

MDS (maximum distance separable) array codes are widely used in storage systems due to their computationally efficient encoding and decoding procedures. An MDS code with r redundancy nodes can correct any r erasures by accessing (reading)…

Information Theory · Computer Science 2011-07-11 Zhiying Wang , Itzhak Tamo , Jehoshua Bruck

The problem of $T$-colluding private information retrieval (PIR) enables the user to retrieve one out of $M$ files from a distributed storage system with $N$ servers without revealing anything about the index of the desired file to any…

Information Theory · Computer Science 2025-06-10 Jinbao Zhu , Xiaohu Tang

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

A new computational private information retrieval (PIR) scheme based on random linear codes is presented. A matrix of messages from a McEliece scheme is used to query the server with carefully chosen errors. The server responds with the sum…

Information Theory · Computer Science 2020-05-15 Lukas Holzbaur , Camilla Hollanti , Antonia Wachter-Zeh

An information theoretic approach to security and privacy called Secure And Private Information Retrieval (SAPIR) is introduced. SAPIR is applied to distributed data storage systems. In this approach, random combinations of all contents are…

Information Theory · Computer Science 2017-06-20 Mohsen Karimzadeh Kiskani , Hamid Sadjadpour

Maximum-distance separable (MDS) array codes with high rate and an optimal repair property were introduced recently. These codes could be applied in distributed storage systems, where they minimize the communication and disk access required…

Information Theory · Computer Science 2013-02-19 Eyal En Gad , Robert Mateescu , Filip Blagojevic , Cyril Guyot , Zvonimir Bandic

In this paper, we study the problem of private information retrieval (PIR) in both graph-based and multigraph-based replication systems, where each file is stored on exactly two servers, and any pair of servers shares at most $r$ files. We…

Information Theory · Computer Science 2025-04-30 Xiangliang Kong , Shreya Meel , Thomas Jacob Maranzatto , Itzhak Tamo , Sennur Ulukus

Maximum distance separable (MDS) array codes are widely employed in modern distributed storage systems to provide high data reliability with small storage overhead. Compared with the data access latency of the entire file, the data access…

Information Theory · Computer Science 2025-01-22 Hao Shi , Zhengyi Jiang , Zhongyi Huang , Linqi Song , Hanxu Hou

We show that the single-server computational PIR protocol proposed by Holzbaur, Hollanti and Wachter-Zeh in 2020 is not private, in the sense that the server can recover in polynomial time the index of the desired file with very high…

Cryptography and Security · Computer Science 2020-04-02 Sarah Bordage , Julien Lavauzelle

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

In this paper, we present a new perspective of single server private information retrieval (PIR) schemes by using the notion of linear error-correcting codes. Many of the known single server schemes are based on taking linear combinations…

Information Theory · Computer Science 2020-08-17 Gianira N. Alfarano , Karan Khathuria , Violetta Weger

Information-theoretic formulations of the private information retrieval (PIR) problem have been investigated under a variety of scenarios. Symmetric private information retrieval (SPIR) is a variant where a user is able to privately…

Information Theory · Computer Science 2020-06-05 Islam Samy , Mohamed A. Attia , Ravi Tandon , Loukas Lazos

We introduce the problem of symmetric private information retrieval (SPIR) on replicated databases modeled by a simple graph. In this model, each vertex corresponds to a server, and a message is replicated on two servers if and only if…

Information Theory · Computer Science 2025-09-04 Shreya Meel , Sennur Ulukus

We reformulate the definition of privacy in the private information retrieval (PIR) problem to accommodate flexible privacy requirements. We focus on graph-replicated PIR, with a generalized privacy requirement, instead of requiring all…

Information Theory · Computer Science 2026-05-12 Mohamed Nomeir , Shreya Meel , Sennur Ulukus

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

There has been a growing interest in Internet user privacy, demonstrated by the popularity of privacy-preserving products such as Telegram and Brave, and the widespread adoption of HTTPS. The Domain Name System (DNS) is a key component of…

Networking and Internet Architecture · Computer Science 2025-07-29 Yunming Xiao , Peizhi Liu , Ruijie Yu , Chenkai Weng , Matteo Varvello , Aleksandar Kuzmanovic

We study the problem of Private Information Retrieval (PIR) in the presence of prior side information. The problem setup includes a database of $K$ independent messages possibly replicated on several servers, and a user that needs to…

Information Theory · Computer Science 2017-09-04 Swanand Kadhe , Brenden Garcia , Anoosheh Heidarzadeh , Salim El Rouayheb , Alex Sprintson

$X$-secure and $T$-private information retrieval (XSTPIR) is a variant of private information retrieval where data security is guaranteed against collusion among up to $X$ servers and the user's retrieval privacy is guaranteed against…

Information Theory · Computer Science 2026-01-13 Yuan Gao , Weijun Fang , Jingke Xu , Jiejing Wen