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This paper presents a novel achievable scheme for coded caching systems with $N$ files and $K$ users, specifically when $N \leq K$. This new scheme employs linear coding both during the placement phase - where cache contents are linear…

Information Theory · Computer Science 2024-06-11 Yinbin Ma , Daniela Tuninetti

Private information retrieval protocols guarantee that a user can privately and losslessly retrieve a single file from a database stored across multiple servers. In this work, we propose to simultaneously relax the conditions of perfect…

Information Theory · Computer Science 2022-01-07 Yauhen Yakimenka , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

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

A $t$-all-symbol PIR code and a $t$-all-symbol batch code of dimension $k$ consist of $n$ servers storing linear combinations of $k$ information symbols with the following recovery property: any symbol stored by a server can be recovered…

Information Theory · Computer Science 2026-04-23 Avital Boruchovsky , Anina Gruica , Jonathan Niemann , Eitan Yaakobi

A Private Information Retrieval (PIR) protocol based on coding theory for a single server is proposed. It provides computational security against linear algebra attacks, addressing the main drawback of previous PIR proposals based on coding…

Information Theory · Computer Science 2024-01-01 Şeyma Bodur , Edgar Martínez-Moro , Diego Ruano

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

Information Theory · Computer Science 2019-03-05 Zhuqing Jia , Hua Sun , Syed A. Jafar

It is well known that an (n,k) code can be used to store 'k' units of information in 'n' unit-capacity disks of a distributed data storage system. If the code used is maximum distance separable (MDS), then the system can tolerate any (n-k)…

Information Theory · Computer Science 2011-06-08 Viveck R. Cadambe , Cheng Huang , Syed A. Jafar , Jin Li

This work considers the problem of privately outsourcing the computation of a matrix product over a finite field $\mathbb{F}_q$ to $N$ helper servers. These servers are considered to be honest but curious, i.e., they behave according to the…

Information Theory · Computer Science 2022-01-12 Jie Li , Okko Makkonen , Camilla Hollanti , Oliver Gnilke

This paper investigates the problem of Leaky Private Information Retrieval with Side Information (L-PIR-SI), providing a fundamental characterization of the trade-off among leaky privacy, side information, and download cost. We propose a…

Information Theory · Computer Science 2026-01-21 Yingying Huangfu , Tian Bai

Maximum distance separable (MDS) codes are widely used in storage systems to protect against disk (node) failures. A node is said to have capacity $l$ over some field $\mathbb{F}$, if it can store that amount of symbols of the field. An…

Information Theory · Computer Science 2016-11-17 Itzhak Tamo , Zhiying Wang , Jehoshua Bruck

Caching is an efficient way to reduce network traffic congestion during peak hours by storing some content at the user's local cache memory without knowledge of later demands. For the shared-link caching model, Maddah-Ali and Niesen (MAN)…

Information Theory · Computer Science 2020-06-22 Kai Wan , Giuseppe Caire

In this work, a distributed server system composed of multiple servers that holds some coded files and multiple users that are interested in retrieving the linear functions of the files is investigated, where the servers are robust, blind…

Information Theory · Computer Science 2024-07-25 Qifa Yan , Xiaohu Tang , Zhengchun Zhou

We consider a cache network in which a single server is connected to multiple users via a shared error free link. The server has access to a database with $N$ files of equal length $F$, and serves $K$ users each with a cache memory of $MF$…

Information Theory · Computer Science 2017-05-24 Jesús Gómez-Vilardebó

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

We study the capacity of quantum private information retrieval (QPIR) with multiple servers. In the QPIR problem with multiple servers, a user retrieves a classical file by downloading quantum systems from multiple servers each of which…

Quantum Physics · Physics 2021-01-21 Seunghoan Song , Masahito Hayashi

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

Decentralized Storage Networks (DSNs) are emerging as a foundational infrastructure for Web 3.0, offering global peer-to-peer storage. However, a critical vulnerability persists: user privacy during file retrieval remains largely…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-09 Jiahao Zhang , Minghui Xu , Hechuan Guo , Xiuzhen Cheng

A \emph{private proximity retrieval} (\emph{PPR}) scheme is a protocol which allows a user to retrieve the identities of all records in a database that are within some distance $r$ from the user's record $x$. The user's \emph{privacy} at…

Information Theory · Computer Science 2019-08-09 Yiwei Zhang , Eitan Yaakobi , Tuvi Etzion

The MDS property (aka the $k$-out-of-$n$ property) requires that if a file is split into several symbols and subsequently encoded into $n$ coded symbols, each being stored in one storage node of a distributed storage system (DSS), then an…

Information Theory · Computer Science 2014-10-14 Son Hoang Dau , Wentu Song , Chau Yuen

We study a class of private information retrieval (PIR) methods that we call one-shot schemes. The intuition behind one-shot schemes is the following. The user's query is regarded as a dot product of a query vector and the message vector…

Information Theory · Computer Science 2018-10-16 Rafael G. L. D'Oliveira , Salim El Rouayheb
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