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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

We prove that the redundancy of a $k$-server PIR code of dimension $s$ is $\Omega(\sqrt{s})$ for all $k \ge 3$. This coincides with a known upper bound of $O(\sqrt{s})$ on the redundancy of PIR codes. Moreover, for $k=3$ and $k = 4$, we…

Information Theory · Computer Science 2017-03-01 Sankeerth Rao , Alexander Vardy

We consider the problem of cache-aided multi-user private information retrieval (MuPIR). In this problem, $N$ independent files are replicated across $S \geq 2$ non-colluding servers. There are $K$ users, each equipped with cache memory…

Information Theory · Computer Science 2022-12-27 Kanishak Vaidya , B Sundar Rajan

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 $r$ from each of the $K$ stored messages in the databases.…

Information Theory · Computer Science 2017-09-05 Yi-Peng Wei , Karim Banawan , Sennur Ulukus

In this work, two practical concepts related to private information retrieval (PIR) are introduced and coined full support-rank PIR and strongly linear PIR. Being of full support-rank is a technical, yet natural condition required to prove…

Information Theory · Computer Science 2021-10-07 Lukas Holzbaur , Ragnar Freij-Hollanti , Jie Li , Camilla Hollanti

A functional $k$-batch code of dimension $s$ consists of $n$ servers storing linear combinations of $s$ linearly independent information bits. These codes are designed to recover any multiset of $k$ requests, each being a linear combination…

Information Theory · Computer Science 2025-01-23 Lev Yohananov , Isaac Barouch Essayag

We consider the problem of downloading content from a cellular network where content is cached at the wireless edge while achieving privacy. In particular, we consider private information retrieval (PIR) of content from a library of files,…

Information Theory · Computer Science 2018-09-05 Siddhartha Kumar , Alexandre Graell i Amat , Eirik Rosnes , Linda Senigagliesi

This paper investigates the problem of Leaky Private Information Retrieval with Side Information (L-PIR-SI), providing a fundamental characterization of the trade-off among leaky privacy, side information, and download cost. We propose a…

Information Theory · Computer Science 2026-01-21 Yingying Huangfu , Tian Bai

Private Information Retrieval (PIR) allows clients to retrieve database entries without leaking retrieval indices, yet malicious servers seriously compromise retrieval correctness. Existing Authenticated PIR (APIR) schemes resist…

Cryptography and Security · Computer Science 2026-04-27 Pengzhen Ke , Yuxuan Qin , Liang Feng Zhang

We consider the problem of designing PIR scheme on coded data when certain nodes are unresponsive. We provide the construction of $\nu$-robust PIR schemes that can tolerate up to $\nu$ unresponsive nodes. These schemes are adaptive and…

Information Theory · Computer Science 2017-08-01 Razane Tajeddine , Salim El Rouayheb

We introduce baseSPIDER and SPIDER, private information retrieval (PIR) schemes that embody two technical advancements. The baseSPIDER protocol operates with a single server and a stateful client that performs pre-processing and stores…

Cryptography and Security · Computer Science 2026-05-22 Ofir Dvir , Kali Hale , Javin Zipkin , Divyakant Agrawal , Dahlia Malkhi

Permissioned blockchains ensure integrity and auditability of shared data but expose query parameters to peers during read operations, creating privacy risks for organizations querying sensitive records. This paper proposes a Private…

Cryptography and Security · Computer Science 2025-11-05 Artur Iasenovets , Fei Tang , Huihui Zhu , Ping Wang , Lei Liu

We study the capacity of quantum private information retrieval (QPIR) with multiple servers. In the QPIR problem with multiple servers, a user retrieves a classical file by downloading quantum systems from multiple servers each of which…

Quantum Physics · Physics 2021-01-21 Seunghoan Song , Masahito Hayashi

Private Information Retrieval (PIR) schemes enable users to securely retrieve files from a server without disclosing the content of their queries, thereby preserving their privacy. In 2008, Melchor and Gaborit proposed a PIR scheme that…

Cryptography and Security · Computer Science 2025-05-12 Svenja Lage

This work introduces the \emph{Secure and Private Structured-Subset Retrieval (SPSSR)} problem. In SPSSR, a user wishes to retrieve one subset from an arbitrary family of size-$D$ subsets from $K$ messages replicated across $N$…

Information Theory · Computer Science 2026-05-13 Maha Issa , Anoosheh Heidarzadeh

We consider the storage-retrieval rate tradeoff in private information retrieval (PIR) systems using a Shannon-theoretic approach. Our focus is mostly on the canonical two-message two-database case, for which a coding scheme based on random…

Information Theory · Computer Science 2023-01-06 Chao Tian , Hua Sun , Jun Chen

We prove new lower bounds for locally decodable codes and private information retrieval. We show that a 2-query LDC encoding n-bit strings over an l-bit alphabet, where the decoder only uses b bits of each queried position of the codeword,…

Quantum Physics · Physics 2007-05-23 Stephanie Wehner , Ronald de Wolf

Private Information Retrieval (PIR), despite being well studied, is computationally costly and arduous to scale. We explore lower-cost relaxations of information-theoretic PIR, based on dummy queries, sparse vectors, and compositions with…

Information Retrieval · Computer Science 2016-04-04 Raphael R. Toledo , George Danezis , Ian Goldberg

We design new minimal-subpacketization schemes for information-theoretic private information retrieval on graph-based replicated databases. In graph-based replication, the system consists of $K$ files replicated across $N$ servers according…

Information Theory · Computer Science 2026-01-16 Vayur Shanbhag , Prasad Krishnan

We consider the problem of single-round private information retrieval (PIR) from $N$ replicated databases. We consider the case when $B$ databases are outdated (unsynchronized), or even worse, adversarial (Byzantine), and therefore, can…

Information Theory · Computer Science 2017-06-06 Karim Banawan , Sennur Ulukus
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