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We introduce the problem of symmetric private information retrieval (SPIR) on replicated databases modeled by a simple graph. In this model, each vertex corresponds to a server, and a message is replicated on two servers if and only if…

Information Theory · Computer Science 2025-09-04 Shreya Meel , Sennur Ulukus

We show that the single-server computational PIR protocol proposed by Holzbaur, Hollanti and Wachter-Zeh in 2020 is not private, in the sense that the server can recover in polynomial time the index of the desired file with very high…

Cryptography and Security · Computer Science 2020-04-02 Sarah Bordage , Julien Lavauzelle

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

A $(K, N, T, K_c)$ instance of the MDS-TPIR problem is comprised of $K$ messages and $N$ distributed servers. Each message is separately encoded through a $(K_c, N)$ MDS storage code. A user wishes to retrieve one message, as efficiently as…

Information Theory · Computer Science 2017-01-31 Hua Sun , Syed A. Jafar

Double blind $T$-private information retrieval (DB-TPIR) enables two users, each of whom specifies an index ($\theta_1, \theta_2$, resp.), to efficiently retrieve a message $W(\theta_1,\theta_2)$ labeled by the two indices, from a set of…

Information Theory · Computer Science 2025-09-16 Yuxiang Lu , Zhuqing Jia , Syed A. Jafar

Private information retrieval systems (PIRs) allow a user to extract an item from a database that is replicated over k>=1 servers, while satisfying various privacy constraints. We exhibit quantum k-server symmetrically-private information…

Quantum Physics · Physics 2007-05-23 Iordanis Kerenidis , Ronald de Wolf

In the problem of cache-aided multiuser private information retrieval (MuPIR), a set of $K_{\rm u}$ cache-equipped users wish to privately download a set of messages from $N$ distributed databases each holding a library of $K$ messages. The…

Information Theory · Computer Science 2021-02-05 Xiang Zhang , Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

The problem of $X$-secure $T$-private information retrieval from MDS coded storage is studied in this paper, where the user wishes to privately retrieve one out of $K$ independent messages that are distributed over $N$ servers according to…

Information Theory · Computer Science 2019-08-29 Zhuqing Jia , Syed A. Jafar

$X$-secure and $T$-private information retrieval (XSTPIR) is a variant of private information retrieval where data security is guaranteed against collusion among up to $X$ servers and the user's retrieval privacy is guaranteed against…

Information Theory · Computer Science 2026-01-13 Yuan Gao , Weijun Fang , Jingke Xu , Jiejing Wen

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

The Pliable Index CODing (PICOD) problem is a variant of the Index Coding (IC) problem, where the desired messages by the users, who are equipped with message side information, is part of the optimization. This paper studies the PICOD…

Information Theory · Computer Science 2019-09-10 Tang Liu , Daniela Tuninetti

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

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

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 many practical settings, the user needs to retrieve information from a server in a periodic manner, over multiple rounds of communication. In this paper, we discuss the setting in which this information needs to be retrieved privately,…

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

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

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

Private Information Retrieval (PIR) was first proposed by B. Chor, O. Goldreich, E. Kushilevitz and M. Sudan in their 1995 FOCS paper. For MDS coded distributed storage system private information retrieval was proposed and the capacity of…

Information Theory · Computer Science 2022-07-12 Hao Chen

We consider the private information retrieval (PIR) problem from decentralized uncoded caching databases. There are two phases in our problem setting, a caching phase, and a retrieval phase. In the caching phase, a data center containing…

Information Theory · Computer Science 2018-11-28 Yi-Peng Wei , Batuhan Arasli , Karim Banawan , Sennur Ulukus

We study the problem of private set intersection (PSI). In this problem, there are two entities $E_i$, for $i=1, 2$, each storing a set $\mathcal{P}_i$, whose elements are picked from a finite field $\mathbb{F}_K$, on $N_i$ replicated and…

Information Theory · Computer Science 2020-12-01 Zhusheng Wang , Karim Banawan , Sennur Ulukus