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It is known that for any general access structure, a secret sharing scheme (SSS) can be constructed from an (m,m)-threshold scheme by using the so-called cumulative map or from a (t,m)-threshold SSS by a modified cumulative map. However,…

Cryptography and Security · Computer Science 2007-07-13 Mitsugu Iwamoto , Hirosuke Yamamoto , Hirohisa Ogawa

Secret sharing was firstly proposed in 1979 by Shamir and Blakley respectively. To avoid deficiencies of original schemes, researchers presented improvement schemes, among which the multi-secret sharing scheme (MSS) is significant. There…

Cryptography and Security · Computer Science 2022-02-21 Jing Yang , Fang-Wei Fu

Ramp secret sharing (SS) schemes can be classified into strong ramp SS schemes and weak ramp SS schemes. The strong ramp SS schemes do not leak out any part of a secret explicitly even in the case where some information about the secret…

Cryptography and Security · Computer Science 2016-08-31 Mitsugu Iwamoto , Hirosuke Yamamoto

Secret sharing is a new alternative for outsourcing data in a secure way.It avoids the need for time consuming encryption decryption process and also the complexity involved in key management.The data must also be protected from untrusted…

Cryptography and Security · Computer Science 2015-02-27 V. P. Binu , A. Sreekumar

A ($t$, $n$) threshold quantum secret sharing (QSS) is proposed based on a single $d$-level quantum system. It enables the ($t$, $n$) threshold structure based on Shamir's secret sharing and simply requires sequential communication in…

Quantum Physics · Physics 2018-10-10 Changbin Lu , Fuyou Miao , Junpeng Hou , Keju Meng

Threshold secret sharing schemes do not prevent any malicious behavior of the dealer or shareholders and so we need verifiable secret sharing, to detect and identify the cheaters, to achieve fair reconstruction of a secret. The problem of…

Cryptography and Security · Computer Science 2012-03-19 Keyur Parmar , Devesh Jinwala

Split Learning (SL) -- splits a model into two distinct parts to help protect client data while enhancing Machine Learning (ML) processes. Though promising, SL has proven vulnerable to different attacks, thus raising concerns about how…

Machine Learning · Computer Science 2025-07-15 Tanveer Khan , Mindaugas Budzys , Antonis Michalas

Quantum secret sharing (QSS) is a cryptographic protocol in which a quantum secret is distributed among a number of parties where some subsets of the parties are able to recover the secret while some subsets are unable to recover the…

Quantum Physics · Physics 2023-05-31 Kaushik Senthoor , Pradeep Kiran Sarvepalli

Traditional threshold secret sharing cannot realizing all access structures of secret sharing. So, Ito introduced the concept of Secret sharing scheme realizing general access structure. But Its scheme has to send multiple shares to each…

Cryptography and Security · Computer Science 2022-09-09 Yang Xie , Sijjad Ali Khuhro , Fuyou Miao , Keju Meng

Federated learning (FL) has attracted growing attention since it allows for privacy-preserving collaborative training on decentralized clients without explicitly uploading sensitive data to the central server. However, recent works have…

Machine Learning · Computer Science 2023-12-19 Yuting Ma , Yuanzhi Yao , Xiaohua Xu

Conditional disclosure of secrets (CDS) allows multiple parties to reveal a secret to a third party if and only if some pre-decided condition is satisfied. In this work, we bolster the privacy guarantees of CDS by introducing…

Cryptography and Security · Computer Science 2021-10-11 Nolan Miranda , Foo Yee Yeo , Vipin Singh Sehrawat

A computational secret-sharing scheme is a method that enables a dealer, that has a secret, to distribute this secret among a set of parties such that a "qualified" subset of parties can efficiently reconstruct the secret while any…

Cryptography and Security · Computer Science 2015-06-02 Ilan Komargodski , Moni Naor , Eylon Yogev

A homomorphic secret sharing (HSS) scheme is a secret sharing scheme that supports evaluating functions on shared secrets by means of a local mapping from input shares to output shares. We initiate the study of the download rate of HSS,…

Information Theory · Computer Science 2022-05-31 Ingerid Fosli , Yuval Ishai , Victor I. Kolobov , Mary Wootters

Publicly verifiable secret sharing (PVSS) allows a dealer to share a secret among a set of shareholders so that the secret can be reconstructed later from any set of qualified participants. In addition, any public verifier should be able to…

Cryptography and Security · Computer Science 2025-11-14 Pham Nhat Minh , Khoa Nguyen , Willy Susilo , Khuong Nguyen-An

We first explain the notion of secret sharing and also threshold schemes, which can be implemented with the Shamir's secret sharing. Subsequently, we review social secret sharing (NSG'10,NS'10) and its trust function. In a secret sharing…

Cryptography and Security · Computer Science 2013-02-08 Sandeep. R. Narani

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

Almost all known secret sharing schemes work on numbers. Such methods will have difficulty in sharing graphs since the number of graphs increases exponentially with the number of nodes. We propose a secret sharing scheme for graphs where we…

Cryptography and Security · Computer Science 2010-09-16 K. R. Sahasranand , Nithin Nagaraj

Computations in high-dimensional spaces can often be realized only approximately, using a certain number of projections onto lower dimensional subspaces or sampling from distributions. In this paper, we are interested in pairs of…

Numerical Analysis · Mathematics 2025-02-26 Nicolaj Rux , Michael Quellmalz , Gabriele Steidl

The problem of computing functions of values at the nodes in a network in a totally distributed manner, where nodes do not have unique identities and make decisions based only on local information, has applications in sensor, peer-to-peer,…

Networking and Internet Architecture · Computer Science 2007-05-23 Damon Mosk-Aoyama , Devavrat Shah

This work investigates the design of sparse secret sharing schemes that encode a sparse private matrix into sparse shares. This investigation is motivated by distributed computing, where the multiplication of sparse and private matrices is…

Cryptography and Security · Computer Science 2023-08-15 Rawad Bitar , Maximilian Egger , Antonia Wachter-Zeh , Marvin Xhemrishi