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We study the distributed multi-user secret sharing (DMUSS) problem under the perfect privacy condition. In a DMUSS problem, multiple secret messages are deployed and the shares are offloaded to the storage nodes. Moreover, the access…

Information Theory · Computer Science 2023-02-09 Jiahong Wu , Nan Liu , Wei Kang

In this paper, we study the problem of information-theoretic distributed multi-user point function, involving a trusted master node, $N \in \mathbb{N}$ server nodes, and $K\in \mathbb{N}$ users, where each user has access to the contents of…

Information Theory · Computer Science 2025-09-08 Ali Khalesi , Bahareh Akhbari

We consider a distributed multi-user secret sharing (DMUSS) setting in which there is a dealer, $n$ storage nodes, and $m$ secrets. Each user demands a $t$-subset of $m$ secrets. Earlier work in this setting dealt with the case of $t=1$; in…

Information Theory · Computer Science 2024-01-09 Rasagna Chigullapally , Harshithanjani Athi , Nikhil Karamchandani , V. Lalitha

We consider a distributed secret sharing system that consists of a dealer, $n$ storage nodes, and $m$ users. Each user is given access to a certain subset of storage nodes, where it can download the stored data. The dealer wants to securely…

Information Theory · Computer Science 2020-09-30 Mahdi Soleymani , Hessam Mahdavifar

In private information delivery (PID) problem, there are $K$ messages stored across $N$ servers, each capable of storing $M$ messages and a user. Servers want to convey one of the $K$ messages to the user without revealing the identity…

Information Theory · Computer Science 2022-02-09 Kanishak Vaidya , B Sundar Rajan

The K-user discrete memoryless (DM) broadcast channel (BC) with two nested multicast messages is studied in which one common message is to be multicast to all receivers and the second private message to a subset of receivers. The receivers…

Information Theory · Computer Science 2018-12-31 Mohamed Salman , Mahesh K. Varanasi

In distributed communication, each transmitter prepares an ensemble of channel codes. To encode a message, a transmitter chooses a channel code individually without sharing the coding choice with other transmitters or with the receiver.…

Information Theory · Computer Science 2018-05-08 Yanru Tang , Faeze Heydaryan , Jie Luo

The distributed coded caching problem has been studied extensively in the recent past. While the known coded caching schemes achieve an improved transmission rate, they violate the privacy of the users since in these schemes the demand of…

Information Theory · Computer Science 2020-02-20 Sneha Kamath , Jithin Ravi , Bikash Kumar Dey

This paper establishes the fundamental limits of a multi-access system where multiple users communicate to a legitimate receiver in presence of an external warden. Only a specific subset of the users, called covert users, needs their…

Information Theory · Computer Science 2024-08-26 Abdelaziz Bounhar , Mireille Sarkiss , Michèle Wigger

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

A distributed quantum storage code maps a quantum message to N storage nodes, of arbitrary specified sizes, such that the stored message is robust to an arbitrary specified set of erasure patterns. The sizes of the storage nodes, and…

Information Theory · Computer Science 2025-10-14 Hua Sun , Syed A. Jafar

A secret sharing scheme is a method to store information securely and reliably. Particularly, in a threshold secret sharing scheme, a secret is encoded into $n$ shares, such that any set of at least $t_1$ shares suffice to decode the…

Information Theory · Computer Science 2016-04-04 Wentao Huang , Michael Langberg , Joerg Kliewer , Jehoshua Bruck

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

This paper investigates the capacity region of a discrete memoryless (DM) multiple access wiretap (MAC-WT) channel where, besides confidential messages, the users have also open messages to transmit. All these messages are intended for the…

Information Theory · Computer Science 2020-01-14 Hao Xu , Giuseppe Caire , Cunhua Pan

We consider a scenario in which $K$ transmitters attempt to communicate covert messages reliably to a legitimate receiver over a discrete memoryless MAC while simultaneously escaping detection from an adversary who observes their…

Information Theory · Computer Science 2019-06-11 Keerthi Suria Kumar Arumugam , Matthieu R. Bloch

We investigate the demand private coded caching problem, which is an $(N,K)$ coded caching problem with $N$ files, $K$ users, each equipped with a cache of size $M$, and an additional privacy constraint on user demands, i.e., each user can…

Information Theory · Computer Science 2025-04-28 Qinyi Lu , Nan Liu , Wei Kang , Chunguo Li

This paper considers the secretive coded caching problem with shared caches in which no user must have access to the files that it did not demand. In a shared cache network, the users are served by a smaller number of helper caches and each…

Information Theory · Computer Science 2021-10-22 Elizabath Peter , K. K. Krishnan Namboodiri , B. Sundar Rajan

This paper studies the problem of repairing secret sharing schemes, i.e., schemes that encode a message into $n$ shares, assigned to $n$ nodes, so that any $n-r$ nodes can decode the message but any colluding $z$ nodes cannot infer any…

Information Theory · Computer Science 2017-06-05 Wentao Huang , Jehoshua Bruck

We study the two-user Gaussian multiple-input multiple-output (MIMO) broadcast channel with common and confidential messages. In this channel, the transmitter sends a common message to both users, and a confidential message to each user…

Information Theory · Computer Science 2010-03-01 Ersen Ekrem , Sennur Ulukus

Consider the communication efficient secret sharing problem. A dealer wants to share a secret with $n$ parties such that any $k\leq n$ parties can reconstruct the secret and any $z<k$ parties eavesdropping on their shares obtain no…

Information Theory · Computer Science 2020-02-11 Rawad Bitar , Sidharth Jaggi
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