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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

Private information retrieval (PIR) considers the problem of retrieving a data item from a database or distributed storage system without disclosing any information about which data item was retrieved. Secure PIR complements this problem by…

Information Theory · Computer Science 2024-08-02 Okko Makkonen , David Karpuk , Camilla Hollanti

A functional $k$-PIR code of dimension $s$ consists of $n$ servers storing linear combinations of $s$ linearly independent information symbols. Any linear combination of the $s$ information symbols can be recovered by $k$ disjoint subsets…

Information Theory · Computer Science 2019-04-16 Yiwei Zhang , Eitan yaakobi , Tuvi Etzion

In the classical model for (information theoretically secure) Private Information Retrieval (PIR), a user wishes to retrieve one bit of a database that is stored on a set of $n$ servers, in such a way that no individual server gains…

Information Theory · Computer Science 2018-12-05 Simon R. Blackburn , Tuvi Etzion , Maura B. Paterson

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

Suppose a database containing $M$ records is replicated across $N$ servers, and a user wants to privately retrieve one record by accessing the servers such that identity of the retrieved record is secret against any up to $T$ servers. A…

Information Theory · Computer Science 2017-11-01 Zhifang Zhang , Jingke Xu

We consider the total (upload plus download) communication cost of two-database symmetric private information retrieval (SPIR) through its relationship to conditional disclosure of secrets (CDS). In SPIR, a user wishes to retrieve a message…

Information Theory · Computer Science 2022-01-31 Zhusheng Wang , Sennur Ulukus

The Pliable Index CODing (PICOD) problem is a variant of the Index Coding (IC) problem, where the desired messages by the users, who are equipped with message side information, is part of the optimization. This paper studies the PICOD…

Information Theory · Computer Science 2019-09-10 Tang Liu , Daniela Tuninetti

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 consider private information retrieval (PIR) for distributed storage systems (DSSs) with noncolluding nodes where data is stored using a non maximum distance separable (MDS) linear code. It was recently shown that if data is stored using…

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

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

Information Theory · Computer Science 2021-02-08 Nahid Esmati , Anoosheh Heidarzadeh , Alex Sprintson

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

Private Information Retrieval (PIR) schemes allow clients to retrieve files from a database without disclosing the requested file's identity to the server. In the pursuit of post-quantum security, most recent PIR schemes rely on hard…

Cryptography and Security · Computer Science 2025-07-28 Svenja Lage , Hannes Bartz

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

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

Quantum private information retrieval (QPIR) for quantum messages is a quantum communication task, in which a user retrieves one of the multiple quantum states from the server without revealing which state is retrieved. In the one-server…

Quantum Physics · Physics 2024-09-10 Seunghoan Song , Francois Le Gall , Masahito Hayashi

The problem of $X$-secure $T$-private information retrieval from MDS coded storage is studied in this paper, where the user wishes to privately retrieve one out of $K$ independent messages that are distributed over $N$ servers according to…

Information Theory · Computer Science 2019-08-29 Zhuqing Jia , Syed A. Jafar

There has been much recent interest in Private information Retrieval (PIR) in models where a database is stored across several servers using coding techniques from distributed storage, rather than being simply replicated. In particular, a…

Information Theory · Computer Science 2016-12-20 Simon R. Blackburn , Tuvi Etzion

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

We propose an information-theoretic private information retrieval (PIR) scheme for distributed storage systems where data is stored using a linear systematic code of rate $R > 1/2$. The proposed scheme generalizes the PIR scheme for data…

Information Theory · Computer Science 2017-05-31 Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat