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We study private information retrieval (PIR) on coded data with possibly colluding servers. Devising PIR schemes with optimal download rate in the case of collusion and coded data is still open in general. We provide a lifting operation…

Information Theory · Computer Science 2018-05-30 Rafael G. L. D'Oliveira , Salim El Rouayheb

In recent years, the Multi-message Private Information Retrieval (MPIR) problem has received significant attention from the research community. In this problem, a user wants to privately retrieve $D$ messages out of $K$ messages whose…

Information Theory · Computer Science 2022-08-30 Ningze Wang , Anoosheh Heidarzadeh , Alex Sprintson

We consider the problem of private information retrieval (PIR) from $N$ non-colluding and replicated databases, when the user is equipped with a cache that holds an uncoded fraction $r$ of the symbols from each of the $K$ stored messages in…

Information Theory · Computer Science 2017-12-20 Yi-Peng Wei , Karim Banawan , Sennur Ulukus

Suppose a database containing $M$ records is replicated across $N$ servers, and a user wants to privately retrieve one record by accessing the servers such that identity of the retrieved record is secret against any up to $T$ servers. A…

Information Theory · Computer Science 2018-05-08 Jingke Xu , Zhifang Zhang

We consider the problem of symmetric private information retrieval (SPIR) with user-side common randomness. In SPIR, a user retrieves a message out of $K$ messages from $N$ non-colluding and replicated databases in such a way that no single…

Information Theory · Computer Science 2021-05-13 Zhusheng Wang , Sennur Ulukus

We consider information leakage to the user in private information retrieval (PIR) systems. Information leakage can be measured in terms of individual message leakage or total leakage. Individual message leakage, or simply individual…

Information Theory · Computer Science 2020-03-17 Tao Guo , Ruida Zhou , Chao Tian

It was recently observed in [1], that in index coding, learning the coding matrix used by the server can pose privacy concerns: curious clients can extract information about the requests and side information of other clients. One approach…

Information Theory · Computer Science 2018-10-16 Mohammed Karmoose , Linqi Song , Martina Cardone , Christina Fragouli

Retrieving up-to-date information from a publicly accessible database poses significant threats to the user's privacy. {\em Private information retrieval} (PIR) protocols allow a user to retrieve any entry from a database, without revealing…

Cryptography and Security · Computer Science 2025-12-02 Liang Feng Zhang

In a typical formulation of the private information retrieval (PIR) problem, a single user wishes to retrieve one out of $ K$ files from $N$ servers without revealing the demanded file index to any server. This paper formulates an extended…

Information Theory · Computer Science 2024-08-26 Ali Gholami , Kai Wan , Tayyebeh Jahani-Nezhad , Hua Sun , Mingyue Ji , Giuseppe Caire

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 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

The design of block codes for short information blocks (e.g., a thousand or less information bits) is an open research problem which is gaining relevance thanks to emerging applications in wireless communication networks. In this work, we…

Information Theory · Computer Science 2016-10-05 Gianluigi Liva , Lorenzo Gaudio , Tudor Ninacs , Thomas Jerkovits

We rethink the definition of privacy in multi-server, graph-replicated private information retrieval (PIR) systems, and introduce a novel setting where the user's privacy is governed by the servers' storage structure. In particular, while…

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

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

In this work, a flexible and robust private information retrieval (PIR) scheme based on binary non-maximum distance separable (non-MDS) codes is considered. This combines previous works on PIR schemes based on transitive non-MDS codes on…

Information Theory · Computer Science 2022-02-21 Perttu Saarela , Matteo Allaix , Ragnar Freij-Hollanti , Camilla Hollanti

This paper introduces a generalization of the Private Information Retrieval with Side Information (PIR-SI) problem called Popularity-Aware PIR-SI (PA-PIR-SI). The PA-PIR-SI problem includes one or more remote servers storing copies of a…

Information Theory · Computer Science 2022-05-17 Alejandro Gomez-Leos , Anoosheh Heidarzadeh

Suppose a database containing $M$ records is replicated in each of $N$ servers, and a user wants to privately retrieve one record by accessing the servers such that identity of the retrieved record is secret against any up to $T$ servers. A…

Information Theory · Computer Science 2019-01-18 Jingke Xu , Yaqian Zhang , Zhifang Zhang

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

We introduce the \emph{Private Contiguous-Block Retrieval (PCBR)} problem, where a user retrieves a block of $D$ messages with contiguous indices from $K$ replicated messages stored across $N$ non-colluding servers, while hiding the…

Information Theory · Computer Science 2026-05-08 Maha Issa , Anoosheh Heidarzadeh

In the classical model for (information theoretically secure) Private Information Retrieval (PIR), a user wishes to retrieve one bit of a database that is stored on a set of $n$ servers, in such a way that no individual server gains…

Information Theory · Computer Science 2018-12-05 Simon R. Blackburn , Tuvi Etzion , Maura B. Paterson