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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

In this paper, we study the coded caching scheme for the $(L, K, M, N)$ multi-user information retrieval (MIR) system, which consists of a content library containing $N$ files, a base station (BS) with $L$ antennas that cannot access the…

Information Theory · Computer Science 2025-01-23 Junyi Wang , Quan Zang , Jinyu Wang , Minquan Cheng

$X$-secure and $T$-private information retrieval (XSTPIR) is a form of private information retrieval where data security is guaranteed against collusion among up to $X$ servers and the user's privacy is guaranteed against collusion among up…

Information Theory · Computer Science 2019-03-05 Zhuqing Jia , Hua Sun , Syed A. Jafar

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

Private information retrieval (PIR) protocols ensure that a user can download a file from a database without revealing any information on the identity of the requested file to the servers storing the database. While existing protocols…

Information Theory · Computer Science 2021-11-03 Hsuan-Yin Lin , Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat , Eitan Yaakobi

Given a database, the private information retrieval (PIR) protocol allows a user to make queries to several servers and retrieve a certain item of the database via the feedbacks, without revealing the privacy of the specific item to any…

Information Theory · Computer Science 2016-09-30 Yiwei Zhang , Xin Wang , Hengjia Wei , Gennian Ge

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

A private information retrieval (PIR) protocol guarantees that a user can privately retrieve files stored in a database without revealing any information about the identity of the requested file. Existing information-theoretic PIR protocols…

Information Theory · Computer Science 2021-02-02 Hsuan-Yin Lin , Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat , Eitan Yaakobi

The explosion in the volumes of data being stored online has resulted in distributed storage systems transitioning to erasure coding based schemes. Local Reconstruction Codes (LRCs) have emerged as the codes of choice for these…

Information Theory · Computer Science 2018-11-19 Sivakanth Gopi , Venkatesan Guruswami , Sergey Yekhanin

This paper addresses the problem of constructing MDS codes that enable exact repair of each code block with small repair bandwidth, which refers to the total amount of information flow from the remaining code blocks during the repair…

Information Theory · Computer Science 2017-09-26 Ankit Singh Rawat , Itzhak Tamo , Venkatesan Guruswami , Klim Efremenko

This paper revisits the problems of Private Information Retrieval (PIR) and Symmetric PIR (SPIR). In PIR, a user retrieves a desired message from $N$ replicated, non-communicating databases, each storing the same $M$ messages, while…

Information Theory · Computer Science 2025-09-03 Or Elimelech , Asaf Cohen

Minimum storage regenerating (MSR) codes are a class of maximum distance separable (MDS) array codes capable of repairing any single failed node by downloading the minimum amount of information from each of the helper nodes. However, MSR…

Information Theory · Computer Science 2024-08-30 Vinayak Ramkumar , Netanel Raviv , Itzhak Tamo

Minimum storage regenerating (MSR) codes are MDS codes which allow for recovery of any single erased symbol with optimal repair bandwidth, based on the smallest possible fraction of the contents downloaded from each of the other symbols.…

Data Structures and Algorithms · Computer Science 2019-07-10 Venkatesan Guruswami , Haotian Jiang

MDS (maximum distance separable) array codes are widely used in storage systems due to their computationally efficient encoding and decoding procedures. An MDS code with r redundancy nodes can correct any r erasures by accessing (reading)…

Information Theory · Computer Science 2011-07-11 Zhiying Wang , Itzhak Tamo , Jehoshua Bruck

Designing good error correcting codes whose generator matrix has a support constraint, i.e., one for which only certain entries of the generator matrix are allowed to be non-zero, has found many recent applications, including in distributed…

Information Theory · Computer Science 2018-01-25 Hikmet Yildiz , Babak Hassibi

Coded Caching is an efficient technique to reduce peak hour network traffic. One limitation of known coded caching schemes is that the demands of all users are revealed to their peers in the delivery phase. Schemes that assure privacy for…

Information Theory · Computer Science 2021-02-04 K. K. Krishnan Namboodiri , B. Sundar Rajan

In a private information retrieval (PIR) system, the user needs to retrieve one of the possible messages from a set of storage servers, but wishes to keep the identity of requested message private from any given server. Existing efforts in…

Information Theory · Computer Science 2020-08-04 Tao Guo , Ruida Zhou , Chao Tian

In a {\em locally recoverable} or {\em repairable} code, any symbol of a codeword can be recovered by reading only a small (constant) number of other symbols. The notion of local recoverability is important in the area of distributed…

Information Theory · Computer Science 2016-11-17 Viveck Cadambe , Arya Mazumdar

This work presents an algorithmic framework that uses linear programming to construct \emph{addition-based Private Information Retrieval (AB-PIR)} schemes, where retrieval is performed by downloading only linear combinations of message…

Information Theory · Computer Science 2025-01-22 Anoosheh Heidarzadeh , Ningze Wang , Alex Sprintson

It is well known that an (n,k) code can be used to store 'k' units of information in 'n' unit-capacity disks of a distributed data storage system. If the code used is maximum distance separable (MDS), then the system can tolerate any (n-k)…

Information Theory · Computer Science 2011-06-08 Viveck R. Cadambe , Cheng Huang , Syed A. Jafar , Jin Li