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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

We study the problem of pliable private information retrieval with side information (PPIR-SI) for the single server case. In PPIR, the messages are partitioned into nonoverlapping classes and stored in a number of noncolluding databases.…

Information Theory · Computer Science 2023-10-05 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes

We consider the problem of designing private information retrieval (PIR) schemes on data of $m$ files replicated on $n$ servers that can possibly collude. We focus on devising robust PIR schemes that can tolerate stragglers, i.e., slow or…

Information Theory · Computer Science 2018-09-07 Rawad Bitar , Salim El Rouayheb

We consider the problem of symmetric private information retrieval (SPIR) with user-side common randomness. In SPIR, a user retrieves a message out of $K$ messages from $N$ non-colluding and replicated databases in such a way that no single…

Information Theory · Computer Science 2021-05-13 Zhusheng Wang , Sennur Ulukus

Privacy and Byzantine resilience are two indispensable requirements for a federated learning (FL) system. Although there have been extensive studies on privacy and Byzantine security in their own track, solutions that consider both remain…

Machine Learning · Computer Science 2023-08-03 Zihang Xiang , Tianhao Wang , Wanyu Lin , Di Wang

We study the problem of private function retrieval (PFR) in a distributed storage system. In PFR the user wishes to retrieve a linear combination of $M$ messages stored in non-colluding $(N,K)$ MDS coded databases while revealing no…

Information Theory · Computer Science 2021-06-29 Sarah A. Obead , Jörg Kliewer

Authenticated private information retrieval (APIR) is the state-of-the-art error-detecting private information retrieval (ED-PIR), using Distributed Point Functions (DPFs) for subpolynomial complexity and privacy. However, its finite field…

Cryptography and Security · Computer Science 2026-04-02 Pengzhen Ke , Liang Feng Zhang , Huaxiong Wang , Li-Ping Wang

In this work private information retrieval (PIR) codes are studied. In a $k$-PIR code, $s$ information bits are encoded in such a way that every information bit has $k$ mutually disjoint recovery sets. The main problem under this paradigm…

Information Theory · Computer Science 2021-01-19 Sascha Kurz , Eitan Yaakobi

In this paper, we study the multi-server setting of the \emph{Private Information Retrieval with Coded Side Information (PIR-CSI)} problem. In this problem, there are $K$ messages replicated across $N$ servers, and there is a user who…

Information Theory · Computer Science 2019-06-24 Fatemeh Kazemi , Esmaeil Karimi , Anoosheh Heidarzadeh , Alex Sprintson

We prove that a class of distance-optimal local reconstruction codes (LRCs), an important family of repair-efficient codes for distributed storage systems, achieve the maximum distance separable private information retrieval capacity for…

Information Theory · Computer Science 2018-09-19 Siddhartha Kumar , Hsuan-Yin Lin , Eirik Rosnes , Alexandre Graell i Amat

This paper considers the problem of single-server single-message private information retrieval with coded side information (PIR-CSI). In this problem, there is a server storing a database, and a user which knows a linear combination of a…

Information Theory · Computer Science 2018-06-15 Anoosheh Heidarzadeh , Fatemeh Kazemi , Alex Sprintson

The problem of symmetric private information retrieval (SPIR) from replicated databases with colluding servers and adversaries is studied. Specifically, the database comprises $K$ files, which are replicatively stored among $N$ servers. A…

Information Theory · Computer Science 2017-07-10 Qiwen Wang , Mikael Skoglund

The problem of $X$-secure $T$-colluding symmetric Private Polynomial Computation (PPC) from coded storage system with $B$ Byzantine and $U$ unresponsive servers is studied in this paper. Specifically, a dataset consisting of $M$ files is…

Information Theory · Computer Science 2021-11-09 Jinbao Zhu , Qifa Yan , Xiaohu Tang , Songze Li

We prove new lower bounds for locally decodable codes and private information retrieval. We show that a 2-query LDC encoding n-bit strings over an l-bit alphabet, where the decoder only uses b bits of each queried position of the codeword,…

Quantum Physics · Physics 2007-05-23 Stephanie Wehner , Ronald de Wolf

We propose a new capacity-achieving code for the private information retrieval (PIR) problem, and show that it has the minimum message size (being one less than the number of servers) and the minimum upload cost (being roughly linear in the…

Information Theory · Computer Science 2019-03-06 Chao Tian , Hua Sun , Jun Chen

This paper introduces the problem of Private Information Retrieval with Reusable and Single-use Side Information (PIR-RSSI). In this problem, one or more remote servers store identical copies of a set of $K$ messages, and there is a user…

Information Theory · Computer Science 2022-01-28 Anoosheh Heidarzadeh , Alex Sprintson

Linear batch codes and codes for private information retrieval (PIR) with a query size $t$ and a restricted size $r$ of the reconstruction sets are studied. New bounds on the parameters of such codes are derived for small values of $t$ or…

Information Theory · Computer Science 2017-07-05 Eldho K. Thomas , Vitaly Skachek

In this paper we study the problem of private information retrieval where a user seeks to retrieve one of the $F$ files from a cluster of $N$ non-colluding servers without revealing the identity of the requested file. In our setting the…

Information Theory · Computer Science 2021-03-18 Mohit Shrivastava , Pradeep Sarvepalli

In information-theoretic private information retrieval (PIR), a client wants to retrieve one desired file out of $M$ files, stored across $N$ servers, while keeping the index of the desired file private from each $T$-sized subset of…

Information Theory · Computer Science 2025-01-22 Chandan Anand , Jayesh Seshadri , Prasad Krishnan , Gowtham R. Kurri

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