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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

In recent years, the Multi-message Private Information Retrieval (MPIR) problem has received significant attention from the research community. In this problem, a user wants to privately retrieve $D$ messages out of $K$ messages whose…

Information Theory · Computer Science 2022-08-30 Ningze Wang , Anoosheh Heidarzadeh , Alex Sprintson

Recently it was shown that the seminal Maddah-Ali and Niesen (MAN) coded caching scheme leaks the demand information of each user to the others. Many works have considered coded caching with demand privacy, while each non-trivial existing…

Information Theory · Computer Science 2023-11-03 Ali Gholami , Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

The problem of PIR in graph-based replication systems has received significant attention in recent years. A systematic study was conducted by Sadeh, Gu, and Tamo, where each file is replicated across two servers and the storage topology is…

Information Theory · Computer Science 2025-10-01 Gennian Ge , Hao Wang , Zixiang Xu , Yijun Zhang

We consider the fundamental tradeoff between the storage cost and the download cost in private information retrieval systems, without any explicit structural restrictions on the storage codes, such as maximum distance separable codes or…

Information Theory · Computer Science 2019-10-29 Chao Tian

We consider the problem of weakly-private information retrieval (WPIR) when data is encoded by a maximum distance separable code and stored across multiple servers. In WPIR, a user wishes to retrieve a piece of data from a set of servers…

Information Theory · Computer Science 2024-01-18 Asbjørn O. Orvedal , Hsuan-Yin Lin , Eirik Rosnes

In this paper we present an attack on a recently proposed code-based Private Information Retrieval (PIR) scheme. Indeed, the server can retrieve the index of the desired file with high probability in polynomial time. The attack relies on…

Cryptography and Security · Computer Science 2026-03-30 Luana Kurmann , Svenja Lage , Violetta Weger

In a distributed storage system, private information retrieval (PIR) guarantees that a user retrieves one file from the system without revealing any information about the identity of its interested file to any individual server. In this…

Information Theory · Computer Science 2019-03-19 Jinbao Zhu , Qifa Yan , Chao Qi , Xiaohu Tang

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

We introduce the problem of random symmetric private information retrieval (RSPIR). In canonical PIR, a user downloads a message out of $K$ messages from $N$ non-colluding and replicated databases in such a way that no database can know…

Information Theory · Computer Science 2022-05-17 Zhusheng Wang , Sennur Ulukus

A long line of research on secure computation has confirmed that anything that can be computed, can be computed securely using a set of non-colluding parties. Indeed, this non-collusion assumption makes a number of problems solvable, as…

Cryptography and Security · Computer Science 2025-09-09 Tiantian Gong , Ryan Henry , Alexandros Psomas , Aniket Kate

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

We consider the storage problem in an asymmetric $X$-secure private information retrieval (A-XPIR) setting. The A-XPIR setting considers the $X$-secure PIR problem (XPIR) when a given arbitrary set of servers is communicating. We focus on…

Information Theory · Computer Science 2026-01-21 Mohamed Nomeir , Sennur Ulukus

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

The demand private coded caching problem in a multi-access network with $K$ users and $K$ caches, where each user has access to $L$ neighbouring caches in a cyclic wrap-around manner, is studied. The additional constraint imposed is that…

Information Theory · Computer Science 2021-07-02 K. K. Krishnan Namboodiri , B. Sundar Rajan

We consider information-theoretical private information retrieval (PIR) from a coded database with colluding servers. We target, for the first time, locally repairable storage codes (LRCs). We consider any number of local groups $ g $,…

Information Theory · Computer Science 2024-03-20 Umberto Martínez-Peñas

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

In symmetric private information retrieval (SPIR), a user communicates with multiple servers to retrieve from them a message in a database, while not revealing the message index to any individual server (user privacy), and learning no…

Information Theory · Computer Science 2026-02-19 Shreya Meel , Sennur Ulukus

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 introduce the problem of deceptive information retrieval (DIR), in which a user wishes to download a required file out of multiple independent files stored in a system of databases while \emph{deceiving} the databases by making the…

Information Theory · Computer Science 2023-07-11 Sajani Vithana , Sennur Ulukus