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A secret sharing scheme is a cryptographic protocol to distribute a secret state in an encoded form among a group of players such that only authorized subsets of the players can reconstruct the secret. Classically, efficient secret sharing…

Quantum Physics · Physics 2010-07-08 Pradeep Sarvepalli , Robert Raussendorf

It is well-known that the linear secret-sharing scheme (LSSS) can be constructed from linear error-correcting codes (Brickell [1], R.J. McEliece and D.V.Sarwate [2],Cramer, el.,[3]). The theory of linear codes from algebraic-geometric…

Cryptography and Security · Computer Science 2007-07-13 Hao Chen

Cloud business intelligence is an increasingly popular choice to deliver decision support capabilities via elastic, pay-per-use resources. However, data security issues are one of the top concerns when dealing with sensitive data. In this…

Databases · Computer Science 2014-12-12 Varunya Attasena , Nouria Harbi , Jérôme Darmont

We explore the conversion of classical secret-sharing schemes to quantum ones, and how this can be used to give efficient QSS schemes for general adversary structures. Our first result is that quantum secret-sharing is possible for any…

Quantum Physics · Physics 2007-05-23 Adam D. Smith

We consider the problems of secret sharing and multiparty computation, assuming that agents prefer to get the secret (resp., function value) to not getting it, and secondarily, prefer that as few as possible of the other agents get it. We…

Computer Science and Game Theory · Computer Science 2007-05-23 Joseph Y. Halpern , Vanessa Teague

We consider an extension of Massey's construction of secret sharing schemes using linear codes. We describe the access structure of the scheme and show its connection to the dual code. We use the $g$-fold weight enumerator and invariant…

Information Theory · Computer Science 2010-07-13 Romar dela Cruz , Annika Meyer , Patrick Solé

The main goal of this work is to propose the design of secret sharing schemes based on hard-on-average problems. It includes the description of a new multiparty protocol whose main application is key management in networks. Its…

Cryptography and Security · Computer Science 2015-03-17 P. Caballero-Gil , C. Hernández-Goya

Factorizable joint shift (FJS) represents a type of distribution shift (or dataset shift) that comprises both covariate and label shift. Recently, it has been observed that FJS actually arises from consecutive label and covariate (or vice…

Machine Learning · Computer Science 2026-04-30 Dirk Tasche

An ideal secret sharing scheme is a method of sharing a secret key in some key space among a finite set of participants in such a way that only the authorized subsets of participants can reconstruct the secret key from their shares which…

Combinatorics · Mathematics 2023-04-19 Ryoh Fuji-Hara , Ying Miao

A $(t,m)$-threshold secret sharing and multisecret-sharing scheme based on Shamir's SSS are introduced with two-level security using a one-way function. Besides we give its application in smart contract-enabled consortium blockchain…

Cryptography and Security · Computer Science 2022-09-09 R. K. Sharma , Ritumoni Sarma , Neha Arora , Vidya Sagar

Matrix factorization is one of the most commonly used technologies in recommendation system. With the promotion of recommendation system in e-commerce shopping, online video and other aspects, distributed recommendation system has been…

Machine Learning · Computer Science 2020-08-19 Senci Ying

Functional Encryption (FE) expands traditional public-key encryption in two different ways: it supports fine-grained access control and allows learning a function of the encrypted data. In this paper, we review all FE classes, describing…

Cryptography and Security · Computer Science 2021-11-03 Carla Mascia , Massimiliano Sala , Irene Villa

A verifiable multi-secret sharing (VMSS) scheme enables the dealer to share multiple secrets, and the deception of both participants and the dealer can be detected. After analyzing the security of VMSS schemes proposed by Mashhadi and…

Cryptography and Security · Computer Science 2019-06-12 Jing Yang , Fang-Wei Fu

The Gaussian function (GF) is widely used to explain the behavior or statistical distribution of many natural phenomena as well as industrial processes in different disciplines of engineering and applied science. For example, the GF can be…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Ibrahim Al-Nahhal , Octavia A. Dobre , Ertugrul Basar , Cecilia Moloney , Salama Ikki

Secret sharing is the well-known problem of splitting a secret into multiple shares, which are distributed to shareholders. When enough or the correct combination of shareholders work together the secret can be restored. We introduce two…

Cryptography and Security · Computer Science 2020-10-09 Fabian Schillinger , Christian Schindelhauer

Secret sharing in user hierarchy represents a challenging area for research. Although a lot of work has already been done in this direc- tion, this paper presents a novel approach to share a secret among a hierarchy of users while…

Cryptography and Security · Computer Science 2010-07-15 Ruchira Naskar , Indranil Sengupta

In this work, we generalize the quantum secret sharing scheme of Hillary, Bu\v{z}ek and Berthiaume[Phys. Rev. A59, 1829(1999)] into arbitrary multi-parties. Explicit expressions for the shared secret bit is given. It is shown that in the…

Quantum Physics · Physics 2009-11-10 Li Xiao , Gui Lu Long , Fu-Guo Deng , Jian-Wei Pan

Private computation in a distributed storage system (DSS) is a generalization of the private information retrieval (PIR) problem. In such setting a user wishes to compute a function of $f$ messages stored in $n$ noncolluding coded…

Information Theory · Computer Science 2021-08-06 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

In Shamir's secret sharing scheme, all participants possess equal privileges. However, in many practical scenarios, it is often necessary to assign different levels of authority to different participants. To address this requirement,…

Cryptography and Security · Computer Science 2026-04-14 Jian Ding , Cheng Wang , Hongju Li , Cheng Shu , Haifeng Yu

Recently, Niu, et. al. introduced a new variant of Federated Learning (FL), called Federated Submodel Learning (FSL). Different from traditional FL, each client locally trains the submodel (e.g., retrieved from the servers) based on its…

Machine Learning · Computer Science 2021-11-03 Jamie Cui , Cen Chen , Tiandi Ye , Li Wang