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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

We investigate the effects of user cooperation on the secrecy of broadcast channels by considering a cooperative relay broadcast channel. We show that user cooperation can increase the achievable secrecy region. We propose an achievable…

Information Theory · Computer Science 2008-11-11 E. Ekrem , S. Ulukus

In this work we address the issue of sharing a quantum secret over untrusted channels between the dealer and players. Existing methods require entanglement over a number of systems which scales with the security parameter, quickly becoming…

Quantum Physics · Physics 2014-10-03 Anne Marin , Damian Markham

Quantum secret sharing is a scheme for encoding a quantum state (the secret) into multiple shares and distributing them among several participants. If a sufficient number of shares are put together, then the secret can be fully…

Quantum Physics · Physics 2015-02-04 Paul Zhang , Ryutaroh Matsumoto

A common approach of system identification and machine learning is to generate a model by using training data to predict the test data instances as accurate as possible. Nonetheless, concerns about data privacy are increasingly raised, but…

Machine Learning · Computer Science 2023-04-18 Jaron Skovsted Gundersen , Bulut Kuskonmaz , Rafael Wisniewski

Secret sharing is a multiparty cryptographic task in which some secret information is splitted into several pieces which are distributed among the participants such that only an authorized set of participants can reconstruct the original…

Quantum Physics · Physics 2009-11-13 S. Gaertner , C. Kurtsiefer , M. Bourennane , H. Weinfurter

In this paper, the problem of secret key agreement in state-dependent multiple access channels with an eavesdropper is studied. For this model, the channel state information is non-causally available at the transmitters; furthermore, a…

Cryptography and Security · Computer Science 2013-01-23 Mohsen Bahrami , Ali Bereyhi , Mahtab Mirmohseni , Mohammad Reza Aref

Secret sharing allows a trusted party (the dealer) to distribute a secret to a group of players, who can only access the secret cooperatively. Quantum secret sharing (QSS) protocols could provide unconditional security based on fundamental…

Quantum Physics · Physics 2019-09-04 Warren P. Grice , Bing Qi

This paper considers the problem of secret-key agreement with public discussion subject to a peak power constraint $A$ on the channel input. The optimal input distribution is proved to be discrete with finite support. The result is obtained…

Information Theory · Computer Science 2018-05-09 Marwen Zorgui , Zouheir Rezki , Basel Alomair , Mohamed-Slim Alouini

A fundamental question that has been studied in cryptography and in information theory is whether two parties can communicate confidentially using exclusively an open channel. We consider the model in which the two parties hold inputs that…

Information Theory · Computer Science 2020-01-10 Marius Zimand

A problem of distributed state estimation at multiple agents that are physically connected and have competitive interests is mapped to a distributed source coding problem with additional privacy constraints. The agents interact to estimate…

Information Theory · Computer Science 2012-07-10 Lalitha Sankar , H. Vincent Poor

We study common randomness where two parties have access to i.i.d. samples from a known random source, and wish to generate a shared random key using limited (or no) communication with the largest possible probability of agreement. This…

Computational Complexity · Computer Science 2017-07-26 Badih Ghazi , T. S. Jayram

In this paper we consider the problem of generating arbitrary three-party correlations from a combination of public and secret correlations. Two parties -- called Alice and Bob -- share perfectly correlated bits that are secret from a…

Quantum Physics · Physics 2016-04-15 Eric Chitambar , Min-Hsiu Hsieh , Andreas Winter

Splitting a secret s between several participants, we generate (for each value of s) shares for all participants. The goal: authorized groups of participants should be able to reconstruct the secret but forbidden ones get no information…

Information Theory · Computer Science 2011-11-18 Tarik Kaced

Alice and Bob want to share a secret key and to communicate an independent message, both of which they desire to be kept secret from an eavesdropper Eve. We study this problem of secret communication and secret key generation when two…

Information Theory · Computer Science 2016-11-15 Vinod M. Prabhakaran , Krishnan Eswaran , Kannan Ramchandran

Social graphs, representing online friendships among users, are one of the fundamental types of data for many applications, such as recommendation, virality prediction and marketing in social media. However, this data may be unavailable due…

Social and Information Networks · Computer Science 2017-02-16 Xiaopeng Li , Ming Cheung , James She

We study the problem of private distribution learning with access to public data. In this setup, which we refer to as public-private learning, the learner is given public and private samples drawn from an unknown distribution $p$ belonging…

Machine Learning · Computer Science 2023-08-16 Shai Ben-David , Alex Bie , Clément L. Canonne , Gautam Kamath , Vikrant Singhal

Preserving data confidentiality in clouds is a key issue. Secret Sharing, a cryptographic primitive for the distribution of a secret among a group of $n$ participants designed so that only subsets of shareholders of cardinality $0 < t \leq…

Cryptography and Security · Computer Science 2015-09-04 Massimo Cafaro , Piergiuseppe Pellè

We introduce a new multiparty cryptographic protocol, which we call `entanglement sharing schemes', wherein a dealer retains half of a maximally-entangled bipartite state and encodes the other half into a multipartite state that is…

Quantum Physics · Physics 2013-03-18 Ran Hee Choi , Ben Fortescue , Gilad Gour , Barry C. Sanders

Secret sharing schemes based on the idea of hidden multipliers in encryption are proposed. As a platform, one can use both multiplicative groups of finite fields and groups of invertible elements of commutative rings, in particular,…

Cryptography and Security · Computer Science 2021-08-17 Vitaly Roman'kov