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We study the fundamental communication limits of information-theoretic secure aggregation in a hierarchical network consisting of a server, multiple relays, and multiple users per relay. Communication proceeds over two rounds and two hops,…

Information Theory · Computer Science 2026-03-23 Zhou Li , Yizhou Zhao , Xiang Zhang , Giuseppe Caire

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 (single-server) Private Information Retrieval (PIR), a server holds a large database $DB$ of size $n$, and a client holds an index $i \in [n]$ and wishes to retrieve $DB[i]$ without revealing $i$ to the server. It is well known that…

Quantum Physics · Physics 2020-03-05 Dorit Aharonov , Zvika Brakerski , Kai-Min Chung , Ayal Green , Ching-Yi Lai , Or Sattath

This paper studies the fundamental limits of the shared-link coded caching problem with correlated files, where a server with a library of $N$ files communicates with $K$ users who can locally cache $M$ files. Given an integer $r \in [N]$,…

Information Theory · Computer Science 2021-06-15 Kai Wan , Daniela Tuninetti , Mingyue Ji , Giuseppe Caire

Privacy of the outsourced data is one of the major challenge.Insecurity of the network environment and untrustworthiness of the service providers are obstacles of making the database as a service.Collection and storage of personally…

Cryptography and Security · Computer Science 2015-03-02 Divya G. Nair , V. P. Binu , G. Santhosh Kumar

We introduce the problem of private information delivery (PID), comprised of $K$ messages, a user, and $N$ servers (each holds $M\leq K$ messages) that wish to deliver one out of $K$ messages to the user privately, i.e., without revealing…

Information Theory · Computer Science 2019-03-26 Hua Sun

One of the primary objectives of a distributed storage system is to reliably store large amounts of source data for long durations using a large number $N$ of unreliable storage nodes, each with $c$ bits of storage capacity. Storage nodes…

Information Theory · Computer Science 2021-01-14 Michael Luby , Thomas Richardson

We study the problem of weakly private information retrieval (W-PIR), where a user wishes to retrieve a desired message from $N$ non-colluding servers in a way that the privacy leakage regarding the desired message's identity is less than…

Information Theory · Computer Science 2022-05-04 Chengyuan Qian , Ruida Zhou , Chao Tian , Tie Liu

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

We study the inherent space requirements of shared storage algorithms in asynchronous fault-prone systems. Previous works use codes to achieve a better storage cost than the well-known replication approach. However, a closer look reveals…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-21 Alexander Spiegelman , Yuval Cassuto , Gregory Chockler , Idit Keidar

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

Consider the problem of private information retrieval (PIR) over a distributed storage system where $M$ records are stored across $N$ servers by using an $[N,K]$ MDS code. For simplicity, this problem is usually referred as the coded PIR…

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

We consider the problem of finding the asymptotic capacity of symmetric private information retrieval (SPIR) with $B$ Byzantine servers. Prior to finding the capacity, a definition for the Byzantine servers is needed since in the literature…

Information Theory · Computer Science 2025-01-29 Mohamed Nomeir , Alptug Aytekin , Sennur Ulukus

Private information retrieval (PIR) is a cryptographic primitive that allows a client to securely query one or multiple servers without revealing their specific interests. In spite of their strong security guarantees, current PIR…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-14 Mpoki Mwaisela , Peterson Yuhala , Pascal Felber , Valerio Schiavoni

We consider the total (upload plus download) communication cost of two-database symmetric private information retrieval (SPIR) through its relationship to conditional disclosure of secrets (CDS). In SPIR, a user wishes to retrieve a message…

Information Theory · Computer Science 2022-01-31 Zhusheng Wang , Sennur Ulukus

A private information retrieval scheme is a mechanism that allows a user to retrieve any one out of $K$ messages from $N$ non-communicating replicated databases, each of which stores all $K$ messages, without revealing anything about the…

Information Theory · Computer Science 2016-10-11 Hua Sun , Syed A. Jafar

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

Private information retrieval (PIR) is a database query protocol that provides user privacy, in that the user can learn a particular entry of the database of his interest but his query would be hidden from the data centre. Symmetric private…

Quantum Physics · Physics 2021-01-19 Wen Yu Kon , Charles Ci Wen Lim

We investigate the demand private coded caching problem, which is an $(N,K)$ coded caching problem with $N$ files, $K$ users, each equipped with a cache of size $M$, and an additional privacy constraint on user demands, i.e., each user can…

Information Theory · Computer Science 2025-04-28 Qinyi Lu , Nan Liu , Wei Kang , Chunguo Li

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