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Private information retrieval (PIR), a privacy-preserving cryptographic tool, solves a simplified version of this problem by hiding the database item that a client accesses. Most PIR protocols require the client to know the exact row index…

Cryptography and Security · Computer Science 2024-03-21 Syed Mahbub Hafiz , Chitrabhanu Gupta , Warren Wnuck , Brijesh Vora , Chen-Nee Chuah

In this work, two practical concepts related to private information retrieval (PIR) are introduced and coined full support-rank PIR and strongly linear PIR. Being of full support-rank is a technical, yet natural condition required to prove…

Information Theory · Computer Science 2021-10-07 Lukas Holzbaur , Ragnar Freij-Hollanti , Jie Li , Camilla Hollanti

We consider the classical setting of private information retrieval (PIR) of a single message (file) out of $M$ messages from $N$ distributed databases under the new constraint of \emph{asymmetric traffic} from databases. In this problem,…

Information Theory · Computer Science 2018-01-10 Karim Banawan , Sennur Ulukus

Private Information Retrieval (PIR) is a privacy-preserving primitive in cryptography. Significant endeavors have been made to address the variant of PIR concerning the malicious servers. Among those endeavors, list-decodable Byzantine…

Cryptography and Security · Computer Science 2026-04-02 Pengzhen Ke , Liang Feng Zhang , Huaxiong Wang , Li-Ping Wang

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

We consider the problem of finding the asymptotic capacity of symmetric private information retrieval (SPIR) with $B$ Byzantine servers. Prior to finding the capacity, a definition for the Byzantine servers is needed since in the literature…

Information Theory · Computer Science 2025-01-29 Mohamed Nomeir , Alptug Aytekin , Sennur Ulukus

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 storage-retrieval rate tradeoff in private information retrieval (PIR) systems using a Shannon-theoretic approach. Our focus is mostly on the canonical two-message two-database case, for which a coding scheme based on random…

Information Theory · Computer Science 2023-01-06 Chao Tian , Hua Sun , Jun Chen

In this work, a flexible and robust private information retrieval (PIR) scheme based on binary non-maximum distance separable (non-MDS) codes is considered. This combines previous works on PIR schemes based on transitive non-MDS codes on…

Information Theory · Computer Science 2022-02-21 Perttu Saarela , Matteo Allaix , Ragnar Freij-Hollanti , Camilla Hollanti

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

We prove new lower bounds for locally decodable codes and private information retrieval. We show that a 2-query LDC encoding n-bit strings over an l-bit alphabet, where the decoder only uses b bits of each queried position of the codeword,…

Quantum Physics · Physics 2007-05-23 Stephanie Wehner , Ronald de Wolf

We introduce the \emph{Private Structured-Subset Retrieval (PSSR)} problem, where a user retrieves $D$ messages from a database of $K$ messages replicated across $N$ non-colluding servers, and the demand is restricted to a known structured…

Information Theory · Computer Science 2026-05-12 Maha Issa , Anoosheh Heidarzadeh

Private information retrieval (PIR) is an essential cryptographic protocol for privacy-preserving applications, enabling a client to retrieve a record from a server's database without revealing which record was requested. Single-server PIR…

Cryptography and Security · Computer Science 2025-12-02 Sangpyo Kim , Hyesung Ji , Jongmin Kim , Wonseok Choi , Jaiyoung Park , Jung Ho Ahn

We consider the storage problem in an asymmetric $X$-secure private information retrieval (A-XPIR) setting. The A-XPIR setting considers the $X$-secure PIR problem (XPIR) when a given arbitrary set of servers is communicating. We focus on…

Information Theory · Computer Science 2026-01-21 Mohamed Nomeir , Sennur Ulukus

We study the fundamental problem of index coding under an additional privacy constraint that requires each receiver to learn nothing more about the collection of messages beyond its demanded messages from the server and what is available to…

Information Theory · Computer Science 2020-06-02 Varun Narayanan , Jithin Ravi , Vivek K. Mishra , Bikash Kumar Dey , Nikhil Karamchandani , Vinod M. Prabhakaran

This paper introduces the problem of Private Linear Transformation (PLT) which generalizes the problems of private information retrieval and private linear computation. The PLT problem includes one or more remote server(s) storing…

Information Theory · Computer Science 2021-06-11 Anoosheh Heidarzadeh , Nahid Esmati , Alex Sprintson

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 consider a coded caching problem with multiple demands under a privacy constraint. In this problem, a server with access to \(N\) files serves \(K\) users over a shared link, and each user requests \(L\) distinct files. The privacy…

Information Theory · Computer Science 2026-04-17 Qinyi Lu , Nan Liu , Wei Kang

This work introduces the \emph{Secure and Private Structured-Subset Retrieval (SPSSR)} problem. In SPSSR, a user wishes to retrieve one subset from an arbitrary family of size-$D$ subsets from $K$ messages replicated across $N$…

Information Theory · Computer Science 2026-05-13 Maha Issa , Anoosheh Heidarzadeh

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
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