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We introduce a simple, practical approach with probabilistic information-theoretic security to mitigate one of quantum key distribution's major limitations: the short maximum transmission distance (~200 km) possible with present day…

Quantum Physics · Physics 2008-08-23 Travis R. Beals , Barry C. Sanders

In this paper we extend the notion of {\em locally repairable} codes to {\em secret sharing} schemes. The main problem that we consider is to find optimal ways to distribute shares of a secret among a set of storage-nodes (participants)…

Information Theory · Computer Science 2016-08-15 Abhishek Agarwal , Arya Mazumdar

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 revisit the problem of symmetric private information retrieval (SPIR) in settings where the database replication is modeled by a simple graph. Here, each vertex corresponds to a server, and a message is replicated on two servers if and…

Information Theory · Computer Science 2025-10-30 Shreya Meel , Sennur Ulukus

We consider constructing capacity-achieving linear codes with minimum message size for private information retrieval (PIR) from $N$ non-colluding databases, where each message is coded using maximum distance separable (MDS) codes, such that…

Information Theory · Computer Science 2020-01-24 Ruida Zhou , Chao Tian , Hua Sun , Tie Liu

We consider the problem of private information retrieval (PIR) from $N$ non-colluding and replicated databases when the user is equipped with a cache that holds an uncoded fraction $r$ from each of the $K$ stored messages in the databases.…

Information Theory · Computer Science 2017-09-05 Yi-Peng Wei , Karim Banawan , Sennur Ulukus

Privacy-preserving distributed processing has received considerable attention recently. The main purpose of these algorithms is to solve certain signal processing tasks over a network in a decentralised fashion without revealing…

Signal Processing · Electrical Eng. & Systems 2023-12-14 Sebastian O. Jordan , Qiongxiu Li , Richard Heusdens

We consider the problem of private information retrieval (PIR) of a single message out of $K$ messages from $N$ replicated and non-colluding databases where a cache-enabled user (retriever) of cache-size $M$ possesses side information in…

Information Theory · Computer Science 2017-11-28 Yi-Peng Wei , Karim Banawan , Sennur Ulukus

Information reconciliation (IR), which corrects the errors in the sifted keys, directly determines the secure key rate and the link distance of quantum key distribution (QKD) systems. In this article, we propose an appending information…

Quantum Physics · Physics 2022-04-15 Han Zhou , Bang-Ying Tang , Huan Chen , Hui-Cun Yu , Si-Chen Li , Wan-Rong Yu , Bo Liu

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

Oblivious RAM (ORAM) and private information retrieval (PIR) are classic cryptographic primitives used to hide the access pattern to data whose storage has been outsourced to an untrusted server. Unfortunately, both primitives require…

Cryptography and Security · Computer Science 2019-04-12 Sarvar Patel , Giuseppe Persiano , Kevin Yeo

In a distributed computing system for the master-worker framework, an erasure code can mitigate the effects of slow workers, also called stragglers. The distributed computing system combined with coding is referred to as coded computation.…

Information Theory · Computer Science 2018-12-05 Minchul Kim , Heecheol Yang , Jungwoo Lee

Motivated by an open problem and a conjecture, this work studies the problem of single server private information retrieval with private coded side information (PIR-PCSI) that was recently introduced by Heidarzadeh et al. The goal of…

Information Theory · Computer Science 2025-09-26 Yuxiang Lu , Syed Ali Jafar

In this paper we study the problem of private information retrieval where a user seeks to retrieve one of the $F$ files from a cluster of $N$ non-colluding servers without revealing the identity of the requested file. In our setting the…

Information Theory · Computer Science 2021-03-18 Mohit Shrivastava , Pradeep Sarvepalli

We study the problem of semantic private information retrieval (Sem-PIR) with $T$ colluding servers (Sem-TPIR), i.e., servers that collectively share user queries. In Sem-TPIR, the message sizes are different, and message retrieval…

Information Theory · Computer Science 2025-07-22 Mohamed Nomeir , Alptug Aytekin , Sennur Ulukus

We develop a low-complexity polar coding scheme for the discrete memoryless broadcast channel with confidential messages under strong secrecy and randomness constraints. Our scheme extends previous work by using an optimal rate of uniform…

Information Theory · Computer Science 2016-03-08 Remi A. Chou , Matthieu R. Bloch

Suppose a database containing $M$ records is replicated in each of $N$ servers, and a user wants to privately retrieve one record by accessing the servers such that identity of the retrieved record is secret against any up to $T$ servers. A…

Information Theory · Computer Science 2019-01-18 Jingke Xu , Yaqian Zhang , Zhifang Zhang

In Private Information Retrieval (PIR), a client queries an n-bit database in order to retrieve an entry of her choice, while maintaining privacy of her query value. Chor, Goldreich, Kushilevitz, and Sudan showed that, in the…

Quantum Physics · Physics 2015-06-29 Ämin Baumeler , Anne Broadbent

The capacity has recently been characterized for the private information retrieval (PIR) problem as well as several of its variants. In every case it is assumed that all the queries are generated by the user simultaneously. Here we consider…

Information Theory · Computer Science 2016-11-08 Hua Sun , Syed A. Jafar

The widespread use of cloud computing services raises the question of how one can delegate the processing tasks to the untrusted distributed parties without breeching the privacy of its data and algorithms. Motivated by the algorithm…

Information Theory · Computer Science 2017-11-16 Mahtab Mirmohseni , Mohammad Ali Maddah-Ali
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