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In the classical model for (information theoretically secure) Private Information Retrieval (PIR), a user wishes to retrieve one bit of a database that is stored on a set of $n$ servers, in such a way that no individual server gains…

Information Theory · Computer Science 2018-12-05 Simon R. Blackburn , Tuvi Etzion , Maura B. Paterson

We introduce the \emph{Private Structured-Subset Retrieval (PSSR)} problem, where a user retrieves $D$ messages from a database of $K$ messages replicated across $N$ non-colluding servers, and the demand is restricted to a known structured…

Information Theory · Computer Science 2026-05-12 Maha Issa , Anoosheh Heidarzadeh

This short note revisits the problem of designing secure minimum storage regenerating (MSR) codes for distributed storage systems. A secure MSR code ensures that a distributed storage system does not reveal the stored information to a…

Information Theory · Computer Science 2016-08-08 Ankit Singh Rawat

We consider the private information retrieval (PIR) problem for a multigraph-based replication system, where each set of $r$ files is stored on two of the servers according to an underlying $r$-multigraph. Our goal is to establish upper and…

Information Theory · Computer Science 2025-05-06 Shreya Meel , Xiangliang Kong , Thomas Jacob Maranzatto , Itzhak Tamo , Sennur Ulukus

Suppose a database containing $M$ records is replicated in each of $N$ 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 2019-01-18 Jingke Xu , Yaqian Zhang , Zhifang Zhang

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

We consider the problem of weakly-private information retrieval (WPIR) when data is encoded by a maximum distance separable code and stored across multiple servers. In WPIR, a user wishes to retrieve a piece of data from a set of servers…

Information Theory · Computer Science 2024-01-18 Asbjørn O. Orvedal , Hsuan-Yin Lin , Eirik Rosnes

This work presents an algorithmic framework that uses linear programming to construct \emph{addition-based Private Information Retrieval (AB-PIR)} schemes, where retrieval is performed by downloading only linear combinations of message…

Information Theory · Computer Science 2025-01-22 Anoosheh Heidarzadeh , Ningze Wang , Alex Sprintson

A Batch Private Information Retrieval (batch-PIR) scheme allows a client to retrieve multiple data items from a database without revealing them to the storage server(s). Most existing approaches for batch-PIR are based on batch codes, in…

Data Structures and Algorithms · Computer Science 2024-06-05 Son Hoang Dau , Quang Cao , Rinaldo Gagiano , Duy Huynh , Xun Yi , Phuc Lu Le , Quang-Hung Luu , Emanuele Viterbo , Yu-Chih Huang , Jingge Zhu , Mohammad M. Jalalzai , Chen Feng

Private information retrieval from a single server is considered, utilizing random linear codes. Presented is a modified version of the first code-based single-server computational PIR scheme proposed by Holzbaur, Hollanti, and Wachter-Zeh…

Information Theory · Computer Science 2025-05-07 Neehar Verma , Camilla Hollanti

We study the problem of weakly private information retrieval (W-PIR), where a user wishes to retrieve a desired message from $N$ non-colluding servers in a way that the privacy leakage regarding the desired message's identity is less than…

Information Theory · Computer Science 2022-05-04 Chengyuan Qian , Ruida Zhou , Chao Tian , Tie Liu

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

Consider Private Information Retrieval (PIR), where a client wants to retrieve one file out of $K$ files that are replicated in $N$ different servers and the client selection must remain private when up to $T$ servers may collude.…

Information Theory · Computer Science 2024-03-08 Hassan ZivariFard , Remi A. Chou

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

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

Private information retrieval systems (PIRs) allow a user to extract an item from a database that is replicated over k>=1 servers, while satisfying various privacy constraints. We exhibit quantum k-server symmetrically-private information…

Quantum Physics · Physics 2007-05-23 Iordanis Kerenidis , Ronald de Wolf

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 2017-11-01 Zhifang Zhang , Jingke Xu

This paper revisits the problem of multi-server Private Information Retrieval with Private Side Information (PIR-PSI). In this problem, $N$ non-colluding servers store identical copies of $K$ messages, each comprising $L$ symbols from…

Information Theory · Computer Science 2024-01-31 Leila Erhili , Anoosheh Heidarzadeh

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

Regenerating codes for distributed storage have attracted much research interest in the past decade. Such codes trade the bandwidth needed to repair a failed node with the overall amount of data stored in the network. Minimum storage…

Information Theory · Computer Science 2016-02-16 Sreechakra Goparaju , Arman Fazeli , Alexander Vardy
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