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We study a class of private information retrieval (PIR) methods that we call one-shot schemes. The intuition behind one-shot schemes is the following. The user's query is regarded as a dot product of a query vector and the message vector…

Information Theory · Computer Science 2018-10-16 Rafael G. L. D'Oliveira , Salim El Rouayheb

We consider the problem of privately updating a message out of $K$ messages from $N$ replicated and non-colluding databases. In this problem, a user has an outdated version of the message $\hat{W}_\theta$ of length $L$ bits that differ from…

Information Theory · Computer Science 2021-02-26 Bryttany Herren , Ahmed Arafa , Karim Banawan

We consider the problem of private information retrieval from $N$ \emph{storage-constrained} databases. In this problem, a user wishes to retrieve a single message out of $M$ messages (of size $L$) without revealing any information about…

Information Theory · Computer Science 2019-08-30 Karim Banawan , Batuhan Arasli , 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

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 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

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

Private information retrieval (PIR) is a protocol that guarantees the privacy of a user who is in communication with databases. The user wants to download one of the messages stored in the databases while hiding the identity of the desired…

Information Theory · Computer Science 2021-05-19 Jun-Woo Tak , Sang-Hyo Kim , Yongjune Kim , Jong-Seon No

A functional $k$-PIR code of dimension $s$ consists of $n$ servers storing linear combinations of $s$ linearly independent information symbols. Any linear combination of the $s$ information symbols can be recovered by $k$ disjoint subsets…

Information Theory · Computer Science 2019-04-16 Yiwei Zhang , Eitan yaakobi , Tuvi Etzion

We study the problem of leaky private information retrieval (L-PIR), where the amount of privacy leakage is measured by the pure differential privacy parameter, referred to as the leakage ratio exponent. Unlike the previous L-PIR scheme…

Information Retrieval · Computer Science 2025-01-22 Wenyuan Zhao , Yu-Shin Huang , Chao Tian , Alex Sprintson

In this paper, we present a new perspective of single server private information retrieval (PIR) schemes by using the notion of linear error-correcting codes. Many of the known single server schemes are based on taking linear combinations…

Information Theory · Computer Science 2020-08-17 Gianira N. Alfarano , Karan Khathuria , Violetta Weger

We study the problem of single-server multi-message private information retrieval with side information. One user wants to recover $N$ out of $K$ independent messages which are stored at a single server. The user initially possesses a…

Information Theory · Computer Science 2018-08-20 Su Li , Michael Gastpar

Private information retrieval has been reformulated in an information-theoretic perspective in recent years. The two most important parameters considered for a PIR scheme in a distributed storage system are the storage overhead and PIR…

Information Theory · Computer Science 2019-01-24 Yiwei Zhang , Eitan Yaakobi , Tuvi Etzion , Moshe Schwartz

An information theoretic approach to security and privacy called Secure And Private Information Retrieval (SAPIR) is introduced. SAPIR is applied to distributed data storage systems. In this approach, random combinations of all contents are…

Information Theory · Computer Science 2017-06-20 Mohsen Karimzadeh Kiskani , Hamid Sadjadpour

Private computation in a distributed storage system (DSS) is a generalization of the private information retrieval (PIR) problem. In such setting a user wishes to compute a function of $f$ messages stored in $n$ noncolluding coded…

Information Theory · Computer Science 2021-08-06 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

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 study the problem of pliable private information retrieval with side information (PPIR-SI) for the single server case. In PPIR, the messages are partitioned into nonoverlapping classes and stored in a number of noncolluding databases.…

Information Theory · Computer Science 2023-10-05 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes

In many practical settings, the user needs to retrieve information from a server in a periodic manner, over multiple rounds of communication. In this paper, we discuss the setting in which this information needs to be retrieved privately,…

Information Theory · Computer Science 2019-01-29 Fatemeh Kazemi , Esmaeil Karimi , Anoosheh Heidarzadeh , Alex Sprintson

In (single-server) Private Information Retrieval (PIR), a server holds a large database $DB$ of size $n$, and a client holds an index $i \in [n]$ and wishes to retrieve $DB[i]$ without revealing $i$ to the server. It is well known that…

Quantum Physics · Physics 2020-03-05 Dorit Aharonov , Zvika Brakerski , Kai-Min Chung , Ayal Green , Ching-Yi Lai , Or Sattath

In information-theoretic private information retrieval (PIR), a client wants to retrieve one desired file out of $M$ files, stored across $N$ servers, while keeping the index of the desired file private from each $T$-sized subset of…

Information Theory · Computer Science 2025-01-22 Chandan Anand , Jayesh Seshadri , Prasad Krishnan , Gowtham R. Kurri
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