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Recently, information-theoretic private information retrieval (PIR) from coded storage systems has gained a lot of attention, and a general star product PIR scheme was proposed. In this paper, the star product scheme is adopted, with…

Information Theory · Computer Science 2019-10-14 Lukas Holzbaur , Ragnar Freij-Hollanti , Antonia Wachter-Zeh , Camilla Hollanti

A locally decodable code (LDC) maps $K$ source symbols, each of size $L_w$ bits, to $M$ coded symbols, each of size $L_x$ bits, such that each source symbol can be decoded from $N \leq M$ coded symbols. A perfectly smooth LDC further…

Information Theory · Computer Science 2018-12-14 Hua Sun , Syed A. Jafar

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

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

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

This study examines a resource-sharing problem involving multiple parties that agree to use a set of capacities together. We start with modeling the whole problem as a mathematical program, where all parties are required to exchange…

Optimization and Control · Mathematics 2024-01-08 Utku Karaca , Nursen Aydin , Sinan Yildirim , S. Ilker Birbil

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

Motivated by the application of high-density data storage technologies, symbol-pair codes are proposed to protect against pair-errors in symbol-pair channels, whose outputs are overlapping pairs of symbols. The research of symbol-pair codes…

Information Theory · Computer Science 2016-06-14 Baokun Ding , Gennian Ge , Jun Zhang , Tao Zhang , Yiwei Zhang

We study the capacity of quantum private information retrieval (QPIR) with multiple servers. In the QPIR problem with multiple servers, a user retrieves a classical file by downloading quantum systems from multiple servers each of which…

Quantum Physics · Physics 2021-01-21 Seunghoan Song , Masahito Hayashi

Permissioned blockchains ensure integrity and auditability of shared data but expose query parameters to peers during read operations, creating privacy risks for organizations querying sensitive records. This paper proposes a Private…

Cryptography and Security · Computer Science 2025-11-05 Artur Iasenovets , Fei Tang , Huihui Zhu , Ping Wang , Lei Liu

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

Maximum distance separable (MDS) codes are optimal error-correcting codes in the sense that they provide the maximum failure-tolerance for a given number of parity nodes. Suppose that an MDS code with $k$ information nodes and $r=n-k$…

Information Theory · Computer Science 2016-04-11 Min Ye , Alexander Barg

Maximum distance separable (MDS) are constructed to required specifications. The codes are explicitly given over finite fields with efficient encoding and decoding algorithms. Series of such codes over finite fields with ratio of distance…

Information Theory · Computer Science 2021-10-27 Ted Hurley , Donny Hurley , Barry Hurley

A private information retrieval scheme is a mechanism that allows a user to retrieve any one out of $K$ messages from $N$ non-communicating replicated databases, each of which stores all $K$ messages, without revealing anything about the…

Information Theory · Computer Science 2016-10-11 Hua Sun , Syed A. Jafar

We consider a multi-user variant of the private information retrieval problem described as follows. Suppose there are $D$ users, each of which wants to privately retrieve a distinct message from a server with the help of a trusted agent. We…

Information Theory · Computer Science 2019-02-05 Anoosheh Heidarzadeh , Swanand Kadhe , Salim El Rouayheb , Alex Sprintson

We study the problem of coded information retrieval for block-structured data, motivated by DNA-based storage systems where a database is partitioned into multiple files that must each be recoverable as an atomic unit. We initiate and…

Information Theory · Computer Science 2026-03-19 Daniella Bar-Lev

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

This paper considers data secrecy in distributed storage systems (DSSs) using maximally recoverable locally repairable codes (MR-LRCs). Conventional MR-LRCs are in general not secure against eavesdroppers who can observe the transmitted…

Information Theory · Computer Science 2024-05-13 Tim Janz , Hedongliang Liu , Rawad Bitar , Frank R. Kschischang

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

The problem of Multi-user Blind $X$-secure $T$-colluding Symmetric Private Information Retrieval from Maximum Distance Separable (MDS) coded storage system with $B$ Byzantine and $U$ unresponsive servers (U-B-MDS-MB-XTSPIR) is studied in…

Information Theory · Computer Science 2021-11-02 Jinbao Zhu , Qifa Yan , Xiaohu Tang
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