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The notion of a Private Information Retrieval (PIR) code was recently introduced by Fazeli, Vardy and Yaakobi who showed that this class of codes permit PIR at reduced levels of storage overhead in comparison with replicated-server PIR. In…

Information Theory · Computer Science 2017-03-20 Myna Vajha , Vinayak Ramkumar , P. Vijay Kumar

Given a database, the private information retrieval (PIR) protocol allows a user to make queries to several servers and retrieve a certain item of the database via the feedbacks, without revealing the privacy of the specific item to any…

Information Theory · Computer Science 2016-09-30 Yiwei Zhang , Xin Wang , Hengjia Wei , Gennian Ge

There has been much recent interest in Private information Retrieval (PIR) in models where a database is stored across several servers using coding techniques from distributed storage, rather than being simply replicated. In particular, a…

Information Theory · Computer Science 2016-12-20 Simon R. Blackburn , Tuvi Etzion

There has been much recent interest in Private information Retrieval (PIR) in models where a database is stored across several servers using coding techniques from distributed storage, rather than being simply replicated. In particular, a…

Information Theory · Computer Science 2018-02-07 Simon Blackburn , Tuvi Etzion

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) protocols allow a user to retrieve a data item from a database without revealing any information about the identity of the item being retrieved. Specifically, in information-theoretic $k$-server PIR, the…

Information Theory · Computer Science 2015-05-26 Arman Fazeli , Alexander Vardy , Eitan Yaakobi

Private information retrieval (PIR) protocols allow a user to retrieve entries of a database without revealing the index of the desired item. Information-theoretical privacy can be achieved by the use of several servers and specific…

Information Theory · Computer Science 2018-09-05 Julien Lavauzelle

A $k$-server Private Information Retrieval (PIR) code is a binary linear $[m,s]$-code admitting a generator matrix such that for every integer $i$ with $1\le i\le s$ there exist $k$ disjoint subsets of columns (called recovery sets) that…

Information Theory · Computer Science 2021-07-05 Massimo Giulietti , Arianna Sabatini , Marco Timpanella

A Private Information Retrieval (PIR) protocol based on coding theory for a single server is proposed. It provides computational security against linear algebra attacks, addressing the main drawback of previous PIR proposals based on coding…

Information Theory · Computer Science 2024-01-01 Şeyma Bodur , Edgar Martínez-Moro , Diego Ruano

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

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 present a new class of private information retrieval (PIR) schemes that keep the identity of the file requested private in the presence of at most $t$ colluding servers, based on the recent framework developed for such $t$-PIR schemes…

Information Theory · Computer Science 2023-05-09 Srikar Kale , Keshav Agarwal , Prasad Krishnan

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

A Private Information Retrieval (PIR) scheme allows users to retrieve data from a database without disclosing to the server information about the identity of the data retrieved. A coded storage in a distributed storage system with colluding…

Information Theory · Computer Science 2023-05-12 Şeyma Bodur , Edgar Martínez-Moro , Diego Ruano

Private information retrieval (PIR) is the problem of privately retrieving one out of $M$ original files from $N$ severs, i.e., each individual server learns nothing about the file that the user is requesting. Usually, the $M$ files are…

Information Theory · Computer Science 2020-03-13 Jie Li , David Karpuk , Camilla Hollanti

This paper presents private information retrieval (PIR) schemes for coded storage with colluding servers, which are not restricted to maximum distance separable (MDS) codes. PIR schemes for general linear codes are constructed and the…

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 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) schemes (with or without colluding servers) have been proposed for realistic coded distributed data storage systems. Star product PIR schemes with colluding servers for general coded distributed storage…

Information Theory · Computer Science 2022-07-26 Hao Chen , Liqing Xu

We propose three private information retrieval (PIR) protocols for distributed storage systems (DSSs) where data is stored using an arbitrary linear code. The first two protocols, named Protocol 1 and Protocol 2, achieve privacy for the…

Information Theory · Computer Science 2019-02-12 Siddhartha Kumar , Hsuan-Yin Lin , Eirik Rosnes , Alexandre Graell i Amat
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