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We consider a multi-user variant of the private information retrieval problem described as follows. Suppose there are $D$ users, each of which wants to privately retrieve a distinct message from a server with the help of a trusted agent. We…

Information Theory · Computer Science 2019-02-05 Anoosheh Heidarzadeh , Swanand Kadhe , Salim El Rouayheb , Alex Sprintson

Multi-server single-message private information retrieval is studied in the presence of side information. In this problem, $K$ independent messages are replicatively stored at $N$ non-colluding servers. The user wants to privately download…

Information Theory · Computer Science 2024-09-10 Su Li , Michael Gastpar

Consider a system, including a user, $N$ servers, and $K$ basic functions which are known at all of the servers. Using the combination of those basic functions, it is possible to construct a wide class of functions. The user wishes to…

Information Theory · Computer Science 2020-03-10 Behrooz Tahmasebi , Mohammad Ali Maddah-Ali

This study examines a resource-sharing problem involving multiple parties that agree to use a set of capacities together. We start with modeling the whole problem as a mathematical program, where all parties are required to exchange…

Optimization and Control · Mathematics 2024-01-08 Utku Karaca , Nursen Aydin , Sinan Yildirim , S. Ilker Birbil

Private Information Retrieval (PIR) is a fundamental problem in the broader fields of security and privacy. In recent years, the problem has garnered significant attention from the research community, leading to achievability schemes and…

Information Theory · Computer Science 2025-02-21 Ningze Wang , Anoosheh Heidarzadeh , Alex Sprintson

We present a private information retrieval (PIR) scheme that allows a user to retrieve a single message from an arbitrary number of databases by colluding with other users while hiding the desired message index. This scheme is of particular…

Information Theory · Computer Science 2020-10-29 William Barnhart , Zhi Tian

We study the role of coded side information in single-server Private Information Retrieval (PIR). An instance of the single-server PIR problem includes a server that stores a database of $K$ independently and uniformly distributed messages,…

Information Theory · Computer Science 2019-10-18 Anoosheh Heidarzadeh , Fatemeh Kazemi , Alex Sprintson

In this paper, the problem of providing privacy to users requesting data over a network from a distributed storage system (DSS) is considered. The DSS, which is considered as the multi-terminal destination of the network from the user's…

Information Theory · Computer Science 2019-06-24 Razane Tajeddine , Antonia Wachter-Zeh , Camilla Hollanti

This work investigates the problem of cache-aided content Secure and demand Private Linear Function Retrieval (SP-LFR), where three constraints are imposed on the system:(a) each user is interested in retrieving an arbitrary linear…

Information Theory · Computer Science 2021-08-24 Qifa Yan , Daniela Tuninetti

The problem of symmetric private information retrieval (SPIR) from a coded database which is distributively stored among colluding servers is studied. Specifically, the database comprises $K$ files, which are stored among $N$ servers using…

Information Theory · Computer Science 2017-08-21 Qiwen Wang , Mikael Skoglund

We consider the coded caching problem with an additional privacy constraint that a user should not get any information about the demands of the other users. We first show that a demand-private scheme for $N$ files and $K$ users can be…

Information Theory · Computer Science 2021-01-19 Chinmay Gurjarpadhye , Jithin Ravi , Sneha Kamath , Bikash Kumar Dey , Nikhil Karamchandani

The problem of $X$-secure $T$-private linear computation with graph based replicated storage (GXSTPLC) is to enable the user to retrieve a linear combination of messages privately from a set of $N$ distributed servers where every message is…

Information Theory · Computer Science 2023-08-15 Haobo Jia , Zhuqing Jia

Private information retrieval (PIR) allows a user to retrieve a desired message from a set of databases without revealing the identity of the desired message. The replicated databases scenario was considered by Sun and Jafar, 2016, where…

Information Theory · Computer Science 2018-10-25 Mohamed Adel Attia , Deepak Kumar , Ravi Tandon

We consider the problem of private multiple linear computation (PMLC) over a replicated storage system with colluding and unresponsive constraints. In this scenario, the user wishes to privately compute $P$ linear combinations of $M$ files…

Information Theory · Computer Science 2024-04-16 Jinbao Zhu , Lanping Li , Xiaohu Tang , Ping Deng

We consider a coded caching problem with multiple demands under a privacy constraint. In this problem, a server with access to \(N\) files serves \(K\) users over a shared link, and each user requests \(L\) distinct files. The privacy…

Information Theory · Computer Science 2026-04-17 Qinyi Lu , Nan Liu , Wei Kang

We consider the problem of private information retrieval (PIR) over a distributed storage system. The storage system consists of $N$ non-colluding databases, each storing a coded version of $M$ messages. In the PIR problem, the user wishes…

Information Theory · Computer Science 2016-09-27 Karim Banawan , Sennur Ulukus

Private computation in a distributed storage system (DSS) is a generalization of the private information retrieval (PIR) problem. In such setting a user wishes to compute a function of $f$ messages stored in $n$ noncolluding coded…

Information Theory · Computer Science 2021-08-06 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

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

Linear programming is a fundamental tool in a wide range of decision systems. However, without privacy protections, sharing the solution to a linear program may reveal information about the underlying data used to formulate it, which may be…

Optimization and Control · Mathematics 2025-11-11 Alexander Benvenuti , Brendan Bialy , Miriam Dennis , Matthew Hale

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