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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 We consider the case when $B$ databases are outdated (unsynchronized), or even worse, adversarial (Byzantine), and therefore, can…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

Private Information Retrieval (PIR) is a privacy-preserving primitive in cryptography. Significant endeavors have been made to address the variant of PIR concerning the malicious servers. Among those endeavors, list-decodable Byzantine…

Cryptography and Security · Computer Science 2026-04-02 Pengzhen Ke , Liang Feng Zhang , Huaxiong Wang , Li-Ping Wang

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 the problems arising from the presence of Byzantine servers in a quantum private information retrieval (QPIR) setting. This is the first work to precisely define what the capabilities of Byzantine servers could be in a QPIR…

Information Theory · Computer Science 2024-05-08 Mohamed Nomeir , Alptug Aytekin , Sennur Ulukus

Private information retrieval (PIR) is the problem of retrieving as efficiently as possible, one out of $K$ messages from $N$ non-communicating replicated databases (each holds all $K$ messages) while keeping the identity of the desired…

Information Theory · Computer Science 2016-05-03 Hua Sun , Syed A. Jafar

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

In the private information retrieval (PIR) problem a user wishes to retrieve, as efficiently as possible, one out of $K$ messages from $N$ non-communicating databases (each holds all $K$ messages) while revealing nothing about the identity…

Information Theory · Computer Science 2017-02-28 Hua Sun , Syed A. Jafar

A private information retrieval (PIR) scheme on coded storage systems with colluding, byzantine, and non-responsive servers is presented. Furthermore, the scheme can also be used for symmetric PIR in the same setting. An explicit scheme…

Information Theory · Computer Science 2018-09-06 Razane Tajeddine , Oliver W. Gnilke , David Karpuk , Ragnar Freij-Hollanti , Camilla Hollanti

We consider the problem of private information retrieval (PIR) over a distributed storage system. The storage system consists of $N$ non-colluding databases, each storing a coded version of $M$ messages. In the PIR problem, the user wishes…

Information Theory · Computer Science 2016-09-27 Karim Banawan , Sennur Ulukus

The problem of Private Information Retrieval (PIR) from coded storage systems with colluding, byzantine, and unresponsive servers is considered. An explicit scheme using an $[n,k]$ Reed-Solomon storage code is designed, protecting against…

Information Theory · Computer Science 2018-09-06 Razane Tajeddine , Oliver W. Gnilke , David Karpuk , Ragnar Freij-Hollanti , Camilla Hollanti

We present a private information retrieval (PIR) scheme that allows a user to retrieve a single message from an arbitrary number of databases by colluding with other users while hiding the desired message index. This scheme is of particular…

Information Theory · Computer Science 2020-10-29 William Barnhart , Zhi Tian

In this work, a flexible and robust private information retrieval (PIR) scheme based on binary non-maximum distance separable (non-MDS) codes is considered. This combines previous works on PIR schemes based on transitive non-MDS codes on…

Information Theory · Computer Science 2022-02-21 Perttu Saarela , Matteo Allaix , Ragnar Freij-Hollanti , Camilla Hollanti

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

We consider the problem of private information retrieval (PIR) from multiple storage nodes when the underlying database is encoded using regenerating codes, i.e., the database has the ability to recover from individual node failures. We…

Information Theory · Computer Science 2019-02-06 Adway Patra , Navin Kashyap

Private information retrieval (PIR) is the problem of retrieving as efficiently as possible, one out of $K$ messages from $N$ non-communicating replicated databases (each holds all $K$ messages) while keeping the identity of the desired…

Information Theory · Computer Science 2017-07-18 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

The capacity of symmetric private information retrieval with $K$ messages, $N$ servers (out of which any $T$ may collude), and an omniscient Byzantine adversary (who can corrupt any $B$ answers) is shown to be $1 - \frac{T+2B}{N}$ [1],…

Information Theory · Computer Science 2018-09-12 Qiwen Wang , Hua Sun , Mikael Skoglund

We consider the problem of private information retrieval (PIR) where a single user with private side information aims to retrieve multiple files from a library stored (uncoded) at a number of servers. We assume the side information at the…

Information Theory · Computer Science 2018-05-31 Seyed Pooya Shariatpanahi , Mahdi Jafari Siavoshani , Mohammad Ali Maddah-Ali

We consider the problem of symmetric private information retrieval (SPIR) with user-side common randomness. In SPIR, a user retrieves a message out of $K$ messages from $N$ non-colluding and replicated databases in such a way that no single…

Information Theory · Computer Science 2021-05-13 Zhusheng Wang , Sennur Ulukus

We consider the problem of private information retrieval (PIR) of a single message out of $K$ messages from $N$ non-colluding and non-replicated databases. Different from the majority of the existing literature, which considers the case of…

Information Theory · Computer Science 2019-01-03 Karim Banawan , Sennur Ulukus
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