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We introduce the problem of private computation, comprised of $N$ distributed and non-colluding servers, $K$ independent datasets, and a user who wants to compute a function of the datasets privately, i.e., without revealing which function…

Information Theory · Computer Science 2017-11-28 Hua Sun , Syed A. Jafar

We consider the problem of private information retrieval through wiretap channel II (PIR-WTC-II). In PIR-WTC-II, a user wants to retrieve a single message (file) privately out of $M$ messages, which are stored in $N$ replicated and…

Information Theory · Computer Science 2018-01-19 Karim Banawan , Sennur Ulukus

We consider information-theoretical private information retrieval (PIR) from a coded database with colluding servers. We target, for the first time, locally repairable storage codes (LRCs). We consider any number of local groups $ g $,…

Information Theory · Computer Science 2024-03-20 Umberto Martínez-Peñas

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

Private Information Retrieval (PIR) is a mechanism for efficiently downloading messages while keeping the index secret. Here, PIRs in which servers do not communicate with each other are called standard PIRs, and PIRs in which some servers…

Information Theory · Computer Science 2024-10-15 Atsushi Miki , Yusuke Morishita , Toshiyasu Matsushima

We study the problem of single-server single-message Private Information Retrieval with Private Coded Side Information (PIR-PCSI). In this problem, there is a server that stores a database, and a user who knows a random linear combination…

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

A private information retrieval (PIR) protocol guarantees that a user can privately retrieve files stored in a database without revealing any information about the identity of the requested file. Existing information-theoretic PIR protocols…

Information Theory · Computer Science 2021-02-02 Hsuan-Yin Lin , Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat , Eitan Yaakobi

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

Private Information Retrieval (PIR) schemes allow a client to retrieve any file of interest, while hiding the file identity from the database servers. In contrast to most existing PIR schemes that assume honest-but-curious servers, we study…

Information Theory · Computer Science 2023-06-09 Stanislav Kruglik , Son Hoang Dau , Han Mao Kiah , Huaxiong Wang

Private Information Retrieval (PIR), despite being well studied, is computationally costly and arduous to scale. We explore lower-cost relaxations of information-theoretic PIR, based on dummy queries, sparse vectors, and compositions with…

Information Retrieval · Computer Science 2016-04-04 Raphael R. Toledo , George Danezis , Ian Goldberg

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 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

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

We consider the problem of designing private information retrieval (PIR) schemes on data of $m$ files replicated on $n$ servers that can possibly collude. We focus on devising robust PIR schemes that can tolerate stragglers, i.e., slow or…

Information Theory · Computer Science 2018-09-07 Rawad Bitar , Salim El Rouayheb

We investigate the problem of semantic private information retrieval (semantic PIR). In semantic PIR, a user retrieves a message out of $K$ independent messages stored in $N$ replicated and non-colluding databases without revealing the…

Information Theory · Computer Science 2020-03-31 Sajani Vithana , Karim Banawan , Sennur Ulukus

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

The problem of private information retrieval with graph-based replicated storage was recently introduced by Raviv, Tamo and Yaakobi. Its capacity remains open in almost all cases. In this work the asymptotic (large number of messages)…

Information Theory · Computer Science 2019-04-15 Zhuqing Jia , Syed A. Jafar

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

A new computational private information retrieval (PIR) scheme based on random linear codes is presented. A matrix of messages from a McEliece scheme is used to query the server with carefully chosen errors. The server responds with the sum…

Information Theory · Computer Science 2020-05-15 Lukas Holzbaur , Camilla Hollanti , Antonia Wachter-Zeh

This paper considers the problem of single-server single-message private information retrieval with coded side information (PIR-CSI). In this problem, there is a server storing a database, and a user which knows a linear combination of a…

Information Theory · Computer Science 2018-06-15 Anoosheh Heidarzadeh , Fatemeh Kazemi , Alex Sprintson
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