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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 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

We consider a special case of $X$-secure $T$-private information retrieval (XSTPIR), where the security requirement is \emph{asymmetric} due to possible missing communication links between the $N$ databases considered in the system. We…

Information Theory · Computer Science 2023-05-10 Mohamed Nomeir , Sajani Vithana , Sennur Ulukus

Private information retrieval (PIR) considers the problem of retrieving a data item from a database or distributed storage system without disclosing any information about which data item was retrieved. Secure PIR complements this problem by…

Information Theory · Computer Science 2024-08-02 Okko Makkonen , David Karpuk , Camilla Hollanti

In Pliable Private Information Retrieval (PPIR) with a single server, messages are partitioned into $\Gamma$ non-overlapping classes. The user wants to retrieve a message from its desired class without revealing the identity of the desired…

Information Theory · Computer Science 2024-04-23 Megha Rayer , Charul Rajput , B. Sundar Rajan

We propose a new capacity-achieving code for the private information retrieval (PIR) problem, and show that it has the minimum message size (being one less than the number of servers) and the minimum upload cost (being roughly linear in the…

Information Theory · Computer Science 2019-03-06 Chao Tian , Hua Sun , Jun Chen

In the classical private information retrieval (PIR) setup, a user wants to retrieve a file from a database or a distributed storage system (DSS) without revealing the file identity to the servers holding the data. In the quantum PIR (QPIR)…

Information Theory · Computer Science 2021-05-11 Matteo Allaix , Lukas Holzbaur , Tefjol Pllaha , Camilla Hollanti

We introduce the problem of private computation, comprised of $N$ distributed and non-colluding servers, $K$ independent datasets, and a user who wants to compute a function of the datasets privately, i.e., without revealing which function…

Information Theory · Computer Science 2017-11-28 Hua Sun , Syed A. Jafar

The capacity has recently been characterized for the private information retrieval (PIR) problem as well as several of its variants. In every case it is assumed that all the queries are generated by the user simultaneously. Here we consider…

Information Theory · Computer Science 2016-11-08 Hua Sun , Syed A. Jafar

We consider the problem of multi-message private information retrieval (MPIR) from $N$ non-communicating replicated databases. In MPIR, the user is interested in retrieving $P$ messages out of $M$ stored messages without leaking the…

Information Theory · Computer Science 2017-02-07 Karim Banawan , Sennur Ulukus

The problem of providing privacy, in the private information retrieval (PIR) sense, to users requesting data from a distributed storage system (DSS), is considered. The DSS is coded by an $(n,k,d)$ Maximum Distance Separable (MDS) code to…

Information Theory · Computer Science 2018-03-16 Razan Tajeddine , Oliver W. Gnilke , Salim El Rouayheb

We consider private information retrieval (PIR) of a single file out of $K$ files from $N$ non-colluding databases with heterogeneous storage constraints $\mathbf{m}=(m_1, \cdots, m_N)$. The aim of this work is to jointly design the content…

Information Theory · Computer Science 2019-02-26 Karim Banawan , Batuhan Arasli , Yi-Peng Wei , Sennur Ulukus

Multi-server single-message private information retrieval is studied in the presence of side information. In this problem, $K$ independent messages are replicatively stored at $N$ non-colluding servers. The user wants to privately download…

Information Theory · Computer Science 2024-09-10 Su Li , Michael Gastpar

In the classical private information retrieval (PIR) setup, a user wants to retrieve a file from a database or a distributed storage system (DSS) without revealing the file identity to the servers holding the data. In the quantum PIR (QPIR)…

Information Theory · Computer Science 2020-08-10 Matteo Allaix , Lukas Holzbaur , Tefjol Pllaha , Camilla Hollanti

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

Private information retrieval (PIR) gets renewed attentions due to its information-theoretic reformulation and its application in distributed storage system (DSS). The general PIR model considers a coded database containing $N$ servers…

Information Theory · Computer Science 2017-10-12 Yiwei Zhang , Gennian Ge

Motivated by an open problem and a conjecture, this work studies the problem of single server private information retrieval with private coded side information (PIR-PCSI) that was recently introduced by Heidarzadeh et al. The goal of…

Information Theory · Computer Science 2025-09-26 Yuxiang Lu , Syed Ali Jafar

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 $r$ of the symbols from each of the $K$ stored messages in…

Information Theory · Computer Science 2017-12-20 Yi-Peng Wei , Karim Banawan , Sennur Ulukus

We present a general framework for Private Information Retrieval (PIR) from arbitrary coded databases, that allows one to adjust the rate of the scheme according to the suspected number of colluding servers. If the storage code is a…

Information Theory · Computer Science 2018-08-02 Ragnar Freij-Hollanti , Oliver Gnilke , Camilla Hollanti , David Karpuk

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