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Low degree Reed-Muller codes are known to satisfy local decoding properties which find applications in private information retrieval (PIR) protocols, for instance. However, their practical instantiation encounters a first barrier due to…

Information Theory · Computer Science 2019-04-19 Julien Lavauzelle , Jade Nardi

We consider the problem of cache-aided multi-user private information retrieval (MuPIR). In this problem, $N$ independent files are replicated across $S \geq 2$ non-colluding servers. There are $K$ users, each equipped with cache memory…

Information Theory · Computer Science 2022-12-27 Kanishak Vaidya , B Sundar Rajan

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 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

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

Storage codes on graphs are an instance of \emph{codes with locality}, which are used in distributed storage schemes to provide local repairability. Specifically, the nodes of the graph correspond to storage servers, and the neighbourhood…

Information Theory · Computer Science 2023-07-18 Sabyasachi Basu , Manuj Mukherjee

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

Quantum private information retrieval (QPIR) is a protocol in which a user retrieves one of multiple files from $\mathsf{n}$ non-communicating servers by downloading quantum systems without revealing which file is retrieved. As variants of…

Quantum Physics · Physics 2021-04-23 Seunghoan Song , Masahito Hayashi

In this survey, two related families of codes are discussed: batch codes and codes for private information retrieval. These two families can be viewed as natural generalizations of locally repairable codes, which were extensively studied in…

Information Theory · Computer Science 2017-09-06 Vitaly Skachek

Private information retrieval systems (PIRs) allow a user to extract an item from a database that is replicated over k>=1 servers, while satisfying various privacy constraints. We exhibit quantum k-server symmetrically-private information…

Quantum Physics · Physics 2007-05-23 Iordanis Kerenidis , Ronald de Wolf

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

Equality operators are an essential building block in tasks over secure computation such as private information retrieval. In private information retrieval (PIR), a user queries a database such that the server does not learn which element…

Cryptography and Security · Computer Science 2022-02-17 Rasoul Akhavan Mahdavi , Florian Kerschbaum

In this paper, we construct new t-server Private Information Retrieval (PIR) schemes with communication complexity subpolynomial in the previously best known, for all but finitely many t. Our results are based on combining derivatives (in…

Computational Complexity · Computer Science 2024-11-19 Fatemeh Ghasemi , Swastik Kopparty , Madhu Sudan

Privacy of the outsourced data is one of the major challenge.Insecurity of the network environment and untrustworthiness of the service providers are obstacles of making the database as a service.Collection and storage of personally…

Cryptography and Security · Computer Science 2015-03-02 Divya G. Nair , V. P. Binu , G. Santhosh Kumar

Multi-server single-message private information retrieval is studied in the presence of side information. In this problem, $K$ independent messages are replicatively stored at $N$ non-colluding servers. The user wants to privately download…

Information Theory · Computer Science 2024-09-10 Su Li , Michael Gastpar

A $(K, N, T, K_c)$ instance of the MDS-TPIR problem is comprised of $K$ messages and $N$ distributed servers. Each message is separately encoded through a $(K_c, N)$ MDS storage code. A user wishes to retrieve one message, as efficiently as…

Information Theory · Computer Science 2017-01-31 Hua Sun , Syed A. Jafar

Information-theoretic formulations of the private information retrieval (PIR) problem have been investigated under a variety of scenarios. Symmetric private information retrieval (SPIR) is a variant where a user is able to privately…

Information Theory · Computer Science 2020-06-05 Islam Samy , Mohamed A. Attia , Ravi Tandon , Loukas Lazos

We consider the problem of computing the minimum length of functional batch and PIR codes of fixed dimension and for a fixed list size, over an arbitrary finite field. We recover, generalize, and refine several results that were previously…

Information Theory · Computer Science 2026-03-18 Altan B. Kilic , Alberto Ravagnani , Flavio Salizzoni

This paper investigates reducing sub-packetization of capacity-achieving schemes for uncoded Storage Constrained Private Information Retrieval (SC-PIR) systems. In the SC-PIR system, a user aims to retrieve one out of $K$ files from $N$…

Information Theory · Computer Science 2021-02-17 Jinbao Zhu , Qifa Yan , Xiaohu Tang , Ying Miao

Private information retrieval (PIR) addresses the problem of retrieving a desired message from distributed databases without revealing which message is being requested. Recent works have shown that cross-subspace alignment (CSA) codes…

Algebraic Geometry · Mathematics 2025-08-28 Francesco Ghiandoni , Massimo Giulietti , Enrico Mezzano , Marco Timpanella