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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

Traditional Byzantine resilient algorithms use 2f+1 vertex disjoint paths to ensure message delivery in the presence of up to f Byzantine nodes. The question of how these paths are identified is related to the fundamental problem of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-31 Shlomi Dolev , Omri Liba , Elad M. Schiller

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

Consider Private Information Retrieval (PIR), where a client wants to retrieve one file out of $K$ files that are replicated in $N$ different servers and the client selection must remain private when up to $T$ servers may collude.…

Information Theory · Computer Science 2024-03-08 Hassan ZivariFard , Remi A. Chou

Since the concept of locally decodable codes was introduced by Katz and Trevisan in 2000, it is well-known that information the-oretically secure private information retrieval schemes can be built using locally decodable codes. In this…

Cryptography and Security · Computer Science 2014-12-17 Daniel Augot , Françoise Levy-Dit-Vehel , Abdullatif Shikfa

A private information retrieval (PIR) scheme allows a user to retrieve a file from a database without revealing any information on the file being requested. As of now, PIR schemes have been proposed for several kinds of storage systems,…

Information Theory · Computer Science 2018-12-07 Julien Lavauzelle , Razane Tajeddine , Ragnar Freij-Hollanti , Camilla Hollanti

The information-theoretic secure exact-repair regenerating codes for distributed storage systems (DSSs) with parameters $(n,k=d,d,\ell)$ are studied in this paper. We consider distributed storage systems with $n$ nodes, in which the…

Information Theory · Computer Science 2023-01-02 Adel Elmahdy , Michelle Kleckler , Soheil Mohajer

This paper considers the single-server Private Linear Transformation (PLT) problem with individual privacy guarantees. In this problem, there is a user that wishes to obtain $L$ independent linear combinations of a $D$-subset of messages…

Information Theory · Computer Science 2021-06-11 Anoosheh Heidarzadeh , Nahid Esmati , Alex Sprintson

In this paper, we study the coded caching scheme for the $(L, K, M, N)$ multi-user information retrieval (MIR) system, which consists of a content library containing $N$ files, a base station (BS) with $L$ antennas that cannot access the…

Information Theory · Computer Science 2025-01-23 Junyi Wang , Quan Zang , Jinyu Wang , Minquan Cheng

We extend the study of retrieval problems in distributed networks, focusing on improving the efficiency and resilience of protocols in the \emph{Data Retrieval (DR) Model}. The DR Model consists of a complete network (i.e., a clique) with…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-30 John Augustine , Soumyottam Chatterjee , Valerie King , Manish Kumar , Shachar Meir , David Peleg

In this paper, a general framework for linear secure distributed matrix multiplication (SDMM) is introduced. The model allows for a neat treatment of straggling and Byzantine servers via a star product interpretation as well as simplified…

Information Theory · Computer Science 2024-02-09 Okko Makkonen , Camilla Hollanti

In this paper, we propose a scheme for the problem of cache-aided multi-user private information retrieval with small caches, in which $K$ users are connected to $S$ non-colluding databases via shared links. Each database contains a set of…

Information Theory · Computer Science 2023-02-01 Charul Rajput , B. Sundar Rajan

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

In \textit{Distributed Storage Systems} (DSSs), usually, data is stored using replicated packets on different chunk servers. Recently a new paradigm of \textit{Fractional Repetition} (FR) codes have been introduced, in which, data is…

Information Theory · Computer Science 2017-11-27 Krishna Gopal Benerjee , Manish K Gupta

This paper focuses on $ K $-receiver discrete-time memoryless broadcast channels (DM-BCs) with private messages, where the transmitter wishes to convey $K$ private messages to $K$ receivers respectively. A general inner bound on the…

Information Theory · Computer Science 2021-11-10 Rui Tang , Songjie Xie , Youlong Wu

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

Consider the problem of storing data in a distributed manner over $T$ servers. Specifically, the data needs to (i) be recoverable from any $\tau$ servers, and (ii) remain private from any $z$ colluding servers, where privacy is quantified…

Information Theory · Computer Science 2024-03-19 Remi A. Chou , Joerg Kliewer

We study the problem of intermittent private information retrieval with multiple servers, in which a user consecutively requests one of K messages from N replicated databases such that part of requests need to be protected while others do…

Information Theory · Computer Science 2022-01-05 Fangwei Ye , Salim El Rouayheb

Quantum private information retrieval (QPIR) for quantum messages is the protocol in which a user retrieves one of the multiple quantum states from one or multiple servers without revealing which state is retrieved. We consider QPIR in two…

Quantum Physics · Physics 2021-01-25 Seunghoan Song , Masahito Hayashi

We study the problem of single-server single-message Private Information Retrieval with Private Coded Side Information (PIR-PCSI). In this problem, there is a server that stores a database, and a user who knows a random linear combination…

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