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In this work private information retrieval (PIR) codes are studied. In a $k$-PIR code, $s$ information bits are encoded in such a way that every information bit has $k$ mutually disjoint recovery sets. The main problem under this paradigm…

Information Theory · Computer Science 2021-01-19 Sascha Kurz , Eitan Yaakobi

We introduce the problem of private information delivery (PID), comprised of $K$ messages, a user, and $N$ servers (each holds $M\leq K$ messages) that wish to deliver one out of $K$ messages to the user privately, i.e., without revealing…

Information Theory · Computer Science 2019-03-26 Hua Sun

We consider the problem of designing private information retrieval (PIR) schemes on data of $m$ files replicated on $n$ servers that can possibly collude. We focus on devising robust PIR schemes that can tolerate stragglers, i.e., slow or…

Information Theory · Computer Science 2018-09-07 Rawad Bitar , Salim El Rouayheb

A $t$-all-symbol PIR code and a $t$-all-symbol batch code of dimension $k$ consist of $n$ servers storing linear combinations of $k$ information symbols with the following recovery property: any symbol stored by a server can be recovered…

Information Theory · Computer Science 2026-04-23 Avital Boruchovsky , Anina Gruica , Jonathan Niemann , Eitan Yaakobi

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

In this paper, we propose a scheme for the problem of cache-aided multi-user private information retrieval with small caches, in which $K$ users are connected to $S$ non-colluding databases via shared links. Each database contains a set of…

Information Theory · Computer Science 2023-02-01 Charul Rajput , B. Sundar Rajan

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

In private information delivery (PID) problem, there are $K$ messages stored across $N$ servers, each capable of storing $M$ messages and a user. Servers want to convey one of the $K$ messages to the user without revealing the identity…

Information Theory · Computer Science 2022-02-09 Kanishak Vaidya , B Sundar Rajan

We consider user-private information retrieval (UPIR), an interesting alternative to private information retrieval (PIR) introduced by Domingo-Ferrer et al. In UPIR, the database knows which records have been retrieved, but does not know…

Cryptography and Security · Computer Science 2012-07-05 Colleen M. Swanson , Douglas R. Stinson

In this work, we investigate the capacity of private information retrieval (PIR) from $N$ replicated databases, where a subset of the databases are untrustworthy (byzantine) in their answers to the query of the user. We allow for…

Information Theory · Computer Science 2019-01-23 Xinyu Yao , Nan Liu , Wei Kang

We study the equivalence between non-perfect secret sharing (NSS) and symmetric private information retrieval (SPIR) with arbitrary response and collusion patterns. NSS and SPIR are defined with an access structure, which corresponds to the…

Cryptography and Security · Computer Science 2021-12-14 Seunghoan Song , Masahito Hayashi

A functional PIR array code is a coding scheme which encodes some $s$ information bits into a $t\times m$ array such that every linear combination of the $s$ information bits has $k$ mutually disjoint recovering sets. Every recovering set…

Information Theory · Computer Science 2020-09-02 Mohammad Nassar , Eitan Yaakobi

We consider the problem of cache-aided Multiuser Private Information Retrieval (MuPIR) which is an extension of the single-user cache-aided PIR problem to the case of multiple users. In MuPIR, each of the $K_{\rm u}$ cache-equipped users…

Information Theory · Computer Science 2020-11-24 Xiang Zhang , Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

Private information retrieval (PIR) codes and batch codes are two important types of codes that are designed for coded distributed storage systems and private information retrieval protocols. These codes have been the focus of much…

Information Theory · Computer Science 2023-09-14 Xiangliang Kong , Ohad Elishco

We consider a multi-user variant of the private information retrieval problem described as follows. Suppose there are $D$ users, each of which wants to privately retrieve a distinct message from a server with the help of a trusted agent. We…

Information Theory · Computer Science 2019-02-05 Anoosheh Heidarzadeh , Swanand Kadhe , Salim El Rouayheb , Alex Sprintson

This paper introduces a generalization of the Private Information Retrieval with Side Information (PIR-SI) problem called Popularity-Aware PIR-SI (PA-PIR-SI). The PA-PIR-SI problem includes one or more remote servers storing copies of a…

Information Theory · Computer Science 2022-05-17 Alejandro Gomez-Leos , Anoosheh Heidarzadeh

A communication-efficient protocol is introduced over a many-to-one quantum network for Q-E-B-MDS-X-TPIR, i.e., quantum private information retrieval with MDS-$X$-secure storage and $T$-private queries. The protocol is resilient to any set…

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

The problem of private information retrieval with graph-based replicated storage was recently introduced by Raviv, Tamo and Yaakobi. Its capacity remains open in almost all cases. In this work the asymptotic (large number of messages)…

Information Theory · Computer Science 2019-04-15 Zhuqing Jia , Syed A. Jafar

We study the role of coded side information in single-server Private Information Retrieval (PIR). An instance of the single-server PIR problem includes a server that stores a database of $K$ independently and uniformly distributed messages,…

Information Theory · Computer Science 2019-10-18 Anoosheh Heidarzadeh , Fatemeh Kazemi , Alex Sprintson

We introduce the \emph{Private Contiguous-Block Retrieval (PCBR)} problem, where a user retrieves a block of $D$ messages with contiguous indices from $K$ replicated messages stored across $N$ non-colluding servers, while hiding the…

Information Theory · Computer Science 2026-05-08 Maha Issa , Anoosheh Heidarzadeh
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