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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

The private search problem is introduced, where a dataset comprised of $L$ i.i.d. records is replicated across $N$ non-colluding servers, each record takes values uniformly from an alphabet of size $K$, and a user wishes to search for all…

Information Theory · Computer Science 2018-01-19 Zhen Chen , Zhiying Wang , Syed Jafar

Multi-message private information retrieval (MPIR) is an interesting variation of PIR which allows a user to download multiple messages from the database without revealing the identity of the desired messages. Obviously, the user can…

Information Theory · Computer Science 2018-08-08 Chatdanai Dorkson , Siaw-Lynn Ng

We study the problem of Private Information Retrieval (PIR) in the presence of prior side information. The problem setup includes a database of $K$ independent messages possibly replicated on several servers, and a user that needs to…

Information Theory · Computer Science 2017-09-04 Swanand Kadhe , Brenden Garcia , Anoosheh Heidarzadeh , Salim El Rouayheb , Alex Sprintson

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

The $i$th coordinate of an $(n,k)$ code is said to have locality $r$ and availability $t$ if there exist $t$ disjoint groups, each containing at most $r$ other coordinates that can together recover the value of the $i$th coordinate. This…

Information Theory · Computer Science 2015-01-20 Anyu Wang , Zhifang Zhang

We revisit the problem of symmetric private information retrieval (SPIR) in settings where the database replication is modeled by a simple graph. Here, each vertex corresponds to a server, and a message is replicated on two servers if and…

Information Theory · Computer Science 2025-10-30 Shreya Meel , Sennur Ulukus

Private information retrieval (PIR) protocols make it possible to retrieve a file from a database without disclosing any information about the identity of the file being retrieved. These protocols have been rigorously explored from an…

Information Theory · Computer Science 2019-05-07 Hsuan-Yin Lin , Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat , Eitan Yaakobi

We consider the problem of private information retrieval (PIR) of a single message out of $K$ messages from $N$ replicated and non-colluding databases where a cache-enabled user (retriever) of cache-size $M$ possesses side information in…

Information Theory · Computer Science 2017-11-28 Yi-Peng Wei , Karim Banawan , Sennur Ulukus

A code over a finite alphabet is called locally recoverable (LRC) if every symbol in the encoding is a function of a small number (at most $r$) other symbols. We present a family of LRC codes that attain the maximum possible value of the…

Information Theory · Computer Science 2014-07-14 Itzhak Tamo , Alexander Barg

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 code is called $(n, k, r, t)$ information symbol locally repairable code \big($(n, k, r, t)_i$ LRC\big) if each information coordinate can be achieved by at least $t$ disjoint repair sets, containing at most $r$ other coordinates. This…

Information Theory · Computer Science 2022-08-25 Deep Mukhopadhyay , Sanjit Bhowmick , Kalyan Hansda , Satya Bagchi

In this paper we study the problem of private information retrieval where a user seeks to retrieve one of the $F$ files from a cluster of $N$ non-colluding servers without revealing the identity of the requested file. In our setting the…

Information Theory · Computer Science 2021-03-18 Mohit Shrivastava , Pradeep Sarvepalli

Private information retrieval (PIR) allows a user to download one of $K$ messages from $N$ databases without revealing to any database which of the $K$ messages is being downloaded. In general, the databases can be storage constrained where…

Information Theory · Computer Science 2019-01-23 Nicholas Woolsey , Rong-Rong Chen , Mingyue Ji

We consider the problem of private information retrieval (PIR) of a single message out of $K$ messages from $N$ replicated and non-colluding databases where a cache-enabled user (retriever) of cache-size $S$ possesses side information in…

Information Theory · Computer Science 2018-06-05 Yi-Peng Wei , Sennur Ulukus

A private information retrieval protocol (PIR) scheme under an arbitrary collusion pattern $\mathcal{P}$ enables a client to retrieve one message from a library of $K$ equal-sized messages duplicated in $N$ servers, while keeping the index…

Information Theory · Computer Science 2026-01-27 Guru S. Dornadula , Manikya Pant , Gowtham R. Kurri , Prasad Krishnan

We consider private information retrieval (PIR) of a single file out of $K$ files from $N$ non-colluding databases with heterogeneous storage constraints $\mathbf{m}=(m_1, \cdots, m_N)$. The aim of this work is to jointly design the content…

Information Theory · Computer Science 2019-02-26 Karim Banawan , Batuhan Arasli , Yi-Peng Wei , Sennur Ulukus

We consider the problem of learning a discrete distribution in the presence of an $\epsilon$ fraction of malicious data sources. Specifically, we consider the setting where there is some underlying distribution, $p$, and each data source…

Machine Learning · Computer Science 2017-11-23 Mingda Qiao , Gregory Valiant

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

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