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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

We consider a special case of $X$-secure $T$-private information retrieval (XSTPIR), where the security requirement is \emph{asymmetric} due to possible missing communication links between the $N$ databases considered in the system. We…

Information Theory · Computer Science 2023-05-10 Mohamed Nomeir , Sajani Vithana , Sennur Ulukus

We consider the problem of weakly-private information retrieval (WPIR) when data is encoded by a maximum distance separable code and stored across multiple servers. In WPIR, a user wishes to retrieve a piece of data from a set of servers…

Information Theory · Computer Science 2024-01-18 Asbjørn O. Orvedal , Hsuan-Yin Lin , Eirik Rosnes

The problem of Private Information Retrieval (PIR) from coded storage systems with colluding, byzantine, and unresponsive servers is considered. An explicit scheme using an $[n,k]$ Reed-Solomon storage code is designed, protecting against…

Information Theory · Computer Science 2018-09-06 Razane Tajeddine , Oliver W. Gnilke , David Karpuk , Ragnar Freij-Hollanti , Camilla Hollanti

We consider both the classical and quantum variations of $X$-secure, $E$-eavesdropped and $T$-colluding symmetric private information retrieval (SPIR). This is the first work to study SPIR with $X$-security in classical or quantum…

Information Theory · Computer Science 2023-08-22 Alptug Aytekin , Mohamed Nomeir , Sajani Vithana , Sennur Ulukus

Private information retrieval (PIR) allows private database queries; however, it is hindered by intense server-side computation and memory traffic. Numerous modern lattice-based PIR protocols consist of three phases: ExpandQuery (expanding…

Cryptography and Security · Computer Science 2026-05-05 Hyesung Ji , Hyunah Yu , Jongmin Kim , Wonseok Choi , G. Edward Suh , Jung Ho Ahn

A major drawback of many PIR schemes is the highcomputational cost at the servers. We present a scheme that usesonly operations in the prime field during response generation.For binary extension fields this leads to schemes that only…

Information Theory · Computer Science 2021-05-18 Christian J. Lex , Oliver W. Gnilke

Since the concept of locally decodable codes was introduced by Katz and Trevisan in 2000, it is well-known that information the-oretically secure private information retrieval schemes can be built using locally decodable codes. In this…

Cryptography and Security · Computer Science 2014-12-17 Daniel Augot , Françoise Levy-Dit-Vehel , Abdullatif Shikfa

We propose three private information retrieval (PIR) protocols for distributed storage systems (DSSs) where data is stored using an arbitrary linear code. The first two protocols, named Protocol 1 and Protocol 2, achieve privacy for the…

Information Theory · Computer Science 2019-02-12 Siddhartha Kumar , Hsuan-Yin Lin , Eirik Rosnes , Alexandre Graell i Amat

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

We design new minimal-subpacketization schemes for information-theoretic private information retrieval on graph-based replicated databases. In graph-based replication, the system consists of $K$ files replicated across $N$ servers according…

Information Theory · Computer Science 2026-01-16 Vayur Shanbhag , Prasad Krishnan

Transparency and explainability are two extremely important aspects to be considered when employing black-box machine learning models in high-stake applications. Providing counterfactual explanations is one way of fulfilling this…

Information Theory · Computer Science 2025-07-25 Mohamed Nomeir , Pasan Dissanayake , Shreya Meel , Sanghamitra Dutta , Sennur Ulukus

Consider the problem of Private Information Retrieval (PIR), where a user wishes to retrieve a single message from $N$ non-communicating and non-colluding databases (servers). All servers store the same set of $M$ messages and they respond…

Information Theory · Computer Science 2020-05-20 Ori Shmuel , Asaf Cohen

Private Information Retrieval (PIR) allows clients to retrieve database entries without leaking retrieval indices, yet malicious servers seriously compromise retrieval correctness. Existing Authenticated PIR (APIR) schemes resist…

Cryptography and Security · Computer Science 2026-04-27 Pengzhen Ke , Yuxuan Qin , Liang Feng Zhang

In (single-server) Private Information Retrieval (PIR), a server holds a large database $DB$ of size $n$, and a client holds an index $i \in [n]$ and wishes to retrieve $DB[i]$ without revealing $i$ to the server. It is well known that…

Quantum Physics · Physics 2020-03-05 Dorit Aharonov , Zvika Brakerski , Kai-Min Chung , Ayal Green , Ching-Yi Lai , Or Sattath

Private information retrieval has been reformulated in an information-theoretic perspective in recent years. The two most important parameters considered for a PIR scheme in a distributed storage system are the storage overhead and PIR…

Information Theory · Computer Science 2019-01-24 Yiwei Zhang , Eitan Yaakobi , Tuvi Etzion , Moshe Schwartz

We present algorithms performing sparse univariate polynomial interpolation with errors in the evaluations of the polynomial. Based on the initial work by Comer, Kaltofen and Pernet [Proc. ISSAC 2012], we define the sparse polynomial…

Symbolic Computation · Computer Science 2014-06-19 Erich L. Kaltofen , Clément Pernet

In this paper we present an attack on a recently proposed code-based Private Information Retrieval (PIR) scheme. Indeed, the server can retrieve the index of the desired file with high probability in polynomial time. The attack relies on…

Cryptography and Security · Computer Science 2026-03-30 Luana Kurmann , Svenja Lage , Violetta Weger

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

Private information retrieval (PIR) allows a user to retrieve a desired message out of $K$ possible messages from $N$ databases without revealing the identity of the desired message. Majority of existing works on PIR assume the presence of…

Information Theory · Computer Science 2017-11-15 Maryam Abdul-Wahid , Firas Almoualem , Deepak Kumar , Ravi Tandon
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