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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

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 propose an information-theoretic private information retrieval (PIR) scheme for distributed storage systems where data is stored using a linear systematic code of rate $R > 1/2$. The proposed scheme generalizes the PIR scheme for data…

Information Theory · Computer Science 2017-05-31 Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat

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 private linear computation (PLC) in a distributed storage system. In PLC, a user wishes to compute a linear combination of $f$ messages stored in noncolluding databases while revealing no information about the…

Information Theory · Computer Science 2021-06-29 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

We reformulate the definition of privacy in the private information retrieval (PIR) problem to accommodate flexible privacy requirements. We focus on graph-replicated PIR, with a generalized privacy requirement, instead of requiring all…

Information Theory · Computer Science 2026-05-12 Mohamed Nomeir , Shreya Meel , Sennur Ulukus

We consider the storage problem in an asymmetric $X$-secure private information retrieval (A-XPIR) setting. The A-XPIR setting considers the $X$-secure PIR problem (XPIR) when a given arbitrary set of servers is communicating. We focus on…

Information Theory · Computer Science 2026-01-21 Mohamed Nomeir , Sennur Ulukus

We introduce the problem of \emph{timely} private information retrieval (PIR) from $N$ non-colluding and replicated servers. In this problem, a user desires to retrieve a message out of $M$ messages from the servers, whose contents are…

Information Theory · Computer Science 2021-05-19 Karim Banawan , Ahmed Arafa , Sennur Ulukus

Private information retrieval scheme for coded data storage is considered in this paper. We focus on the case where the size of each data record is large and hence only the download cost (but not the upload cost for transmitting retrieval…

Information Theory · Computer Science 2016-11-15 Terence H. Chan , Siu-Wai Ho , Hirosuke Yamamoto

We study the problem of private function retrieval (PFR) in a distributed storage system. In PFR the user wishes to retrieve a linear combination of $M$ messages stored in non-colluding $(N,K)$ MDS coded databases while revealing no…

Information Theory · Computer Science 2021-06-29 Sarah A. Obead , Jörg Kliewer

A private information retrieval (PIR) scheme allows a user to retrieve a file from a database without revealing any information on the file being requested. As of now, PIR schemes have been proposed for several kinds of storage systems,…

Information Theory · Computer Science 2018-12-07 Julien Lavauzelle , Razane Tajeddine , Ragnar Freij-Hollanti , Camilla Hollanti

We consider the setup of a constrained optimization problem with two agents $E_1$ and $E_2$ who jointly wish to learn the optimal solution set while keeping their feasible sets $\mathcal{P}_1$ and $\mathcal{P}_2$ private from each other.…

Information Theory · Computer Science 2023-12-05 Shreya Meel , Sennur Ulukus

A private information retrieval (PIR) scheme allows a client to retrieve a data item $x_i$ among $n$ items $x_1,x_2,\ldots,x_n$ from $k$ servers, without revealing what $i$ is even when $t < k$ servers collude and try to learn $i$. Such a…

Cryptography and Security · Computer Science 2023-09-26 Quang Cao , Hong Yen Tran , Son Hoang Dau , Xun Yi , Emanuele Viterbo , Chen Feng , Yu-Chih Huang , Jingge Zhu , Stanislav Kruglik , Han Mao Kiah

The capacity of private information retrieval (PIR) from databases coded using maximum distance separable (MDS) codes has been previously characterized by Banawan and Ulukus, where it was assumed that the messages are encoded and stored…

Information Theory · Computer Science 2019-08-21 Hua Sun , Chao Tian

Private Information Retrieval (PIR) allows a client to retrieve an entry $\text{DB}[i]$ from a public database $\text{DB}$ held by one or more servers, without revealing the queried index $i$. Traditional PIR schemes achieve sublinear…

Cryptography and Security · Computer Science 2025-10-07 Elian Morel

Consider a user who wishes to store a file in multiple servers such that at least t servers are needed to reconstruct the file, and z colluding servers cannot learn any information about the file. Unlike traditional secret-sharing models,…

Information Theory · Computer Science 2022-07-28 Remi A. Chou

Information-theoretically secure Symmetric Private Information Retrieval (SPIR) is known to be infeasible over noiseless channels with a single server. Known solutions to overcome this infeasibility involve additional resources such as…

Information Theory · Computer Science 2025-12-10 Remi A. Chou

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

In a private information retrieval (PIR) system, the user needs to retrieve one of the possible messages from a set of storage servers, but wishes to keep the identity of requested message private from any given server. Existing efforts in…

Information Theory · Computer Science 2020-08-04 Tao Guo , Ruida Zhou , Chao Tian

We introduce the problem of deceptive information retrieval (DIR), in which a user wishes to download a required file out of multiple independent files stored in a system of databases while \emph{deceiving} the databases by making the…

Information Theory · Computer Science 2023-07-11 Sajani Vithana , Sennur Ulukus
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