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We consider the setup of a constrained optimization problem with two agents $E_1$ and $E_2$ who jointly wish to learn the optimal solution set while keeping their feasible sets $\mathcal{P}_1$ and $\mathcal{P}_2$ private from each other.…

Information Theory · Computer Science 2023-12-05 Shreya Meel , Sennur Ulukus

We consider the problem of private information retrieval (PIR) where a single user with private side information aims to retrieve multiple files from a library stored (uncoded) at a number of servers. We assume the side information at the…

Information Theory · Computer Science 2018-05-31 Seyed Pooya Shariatpanahi , Mahdi Jafari Siavoshani , Mohammad Ali Maddah-Ali

A private information retrieval protocol (PIR) scheme under an arbitrary collusion pattern $\mathcal{P}$ enables a client to retrieve one message from a library of $K$ equal-sized messages duplicated in $N$ servers, while keeping the index…

Information Theory · Computer Science 2026-01-27 Guru S. Dornadula , Manikya Pant , Gowtham R. Kurri , Prasad Krishnan

Blind interference alignment (BIA) refers to interference alignment schemes that are designed only based on channel coherence pattern knowledge at the transmitters (the "blind" transmitters do not know the exact channel values). Private…

Information Theory · Computer Science 2016-01-29 Hua Sun , Syed A. Jafar

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

In a typical formulation of the private information retrieval (PIR) problem, a single user wishes to retrieve one out of $ K$ files from $N$ servers without revealing the demanded file index to any server. This paper formulates an extended…

Information Theory · Computer Science 2024-08-26 Ali Gholami , Kai Wan , Tayyebeh Jahani-Nezhad , Hua Sun , Mingyue Ji , Giuseppe Caire

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

Private Information Retrieval (PIR) schemes enable users to securely retrieve files from a server without disclosing the content of their queries, thereby preserving their privacy. In 2008, Melchor and Gaborit proposed a PIR scheme that…

Cryptography and Security · Computer Science 2025-05-12 Svenja Lage

We study private information retrieval (PIR) on coded data with possibly colluding servers. Devising PIR schemes with optimal download rate in the case of collusion and coded data is still open in general. We provide a lifting operation…

Information Theory · Computer Science 2018-05-30 Rafael G. L. D'Oliveira , Salim El Rouayheb

Matrix multiplication is one of the key operations in various engineering applications. Outsourcing large-scale matrix multiplication tasks to multiple distributed servers or cloud is desirable to speed up computation. However, security…

Information Theory · Computer Science 2018-06-04 Wei-Ting Chang , Ravi Tandon

Content-Based Image Retrieval (CBIR) techniques have been widely researched and in service with the help of cloud computing like Google Images. However, the images always contain rich sensitive information. In this case, the privacy…

Cryptography and Security · Computer Science 2020-10-01 Qi Gu , Zhihua Xia , Xingming Sun

Quantum private information retrieval (QPIR) is a protocol in which a user retrieves one of multiple classical files by downloading quantum systems from non-communicating $\mathsf{n}$ servers each of which contains a copy of all files,…

Quantum Physics · Physics 2021-02-02 Seunghoan Song , Masahito Hayashi

A 2-server Private Information Retrieval (PIR) scheme allows a user to retrieve the $i$th bit of an $n$-bit database replicated among two servers (which do not communicate) while not revealing any information about $i$ to either server. In…

Computational Complexity · Computer Science 2014-07-25 Zeev Dvir , Sivakanth Gopi

In this paper, we consider the multi-server setting of Private Information Retrieval with Private Coded Side Information (PIR-PCSI) problem. In this problem, there is a database of $K$ messages whose copies are replicated across $N$…

Information Theory · Computer Science 2019-06-28 Fatemeh Kazemi , Esmaeil Karimi , Anoosheh Heidarzadeh , Alex Sprintson

This paper presents private information retrieval (PIR) schemes for coded storage with colluding servers, which are not restricted to maximum distance separable (MDS) codes. PIR schemes for general linear codes are constructed and the…

We study the private information retrieval (PIR) problem under arbitrary collusion pattern for replicated databases. We find its capacity, which is the same as the capacity of the original PIR problem with the number of databases $N$…

Information Theory · Computer Science 2020-01-14 Xinyu Yao , Nan Liu , Wei Kang

We propose a private information retrieval (PIR) protocol for distributed storage systems with noncolluding nodes where data is stored using an arbitrary linear code. An expression for the PIR rate, i.e., the ratio of the amount of…

Information Theory · Computer Science 2018-06-01 Hsuan-Yin Lin , Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat

We study the problem of private set intersection (PSI). In this problem, there are two entities $E_i$, for $i=1, 2$, each storing a set $\mathcal{P}_i$, whose elements are picked from a finite field $\mathbb{F}_K$, on $N_i$ replicated and…

Information Theory · Computer Science 2020-12-01 Zhusheng Wang , Karim Banawan , Sennur Ulukus

We introduce the \emph{Private Contiguous-Block Retrieval (PCBR)} problem, where a user retrieves a block of $D$ messages with contiguous indices from $K$ replicated messages stored across $N$ non-colluding servers, while hiding the…

Information Theory · Computer Science 2026-05-08 Maha Issa , Anoosheh Heidarzadeh

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