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Group oriented applications are getting more and more popular in mobile Internet and call for secure and efficient secret sharing (SS) scheme to meet their requirements. A $(t,n)$ threshold SS scheme divides a secret into $n$ shares such…

Cryptography and Security · Computer Science 2021-04-13 Fuyou Miao , Yue Yu , Keju Meng , Wenchao Huang , Yan Xiong

The public sharing of user information opens the door for adversaries to infer private data, leading to privacy breaches and facilitating malicious activities. While numerous studies have concentrated on privacy leakage via public user…

Machine Learning · Computer Science 2024-07-29 Hanyang Yuan , Jiarong Xu , Cong Wang , Ziqi Yang , Chunping Wang , Keting Yin , Yang Yang

Secret sharing is a well-established cryptographic primitive for storing highly sensitive information like encryption keys for encoded data. It describes the problem of splitting a secret into different shares, without revealing any…

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

In a secret sharing scheme, shares of a secret are distributed to participants in such a way that only certain predetermined sets of participants are qualified to reconstruct the secret. An access structure on a set of participants…

Cryptography and Security · Computer Science 2008-01-30 Jessica Ruth Metcalf-Burton

Secret image sharing deals with splitting confidential images into several shares and the original image can be reconstructed from the qualified subset of the shares. Secret sharing schemes are used in transmission and storage of private…

Cryptography and Security · Computer Science 2015-01-14 V. P. Binu , A. Sreekumar

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

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

This paper presents a recursive hiding scheme for 2 out of 3 secret sharing. In recursive hiding of secrets, the user encodes additional information about smaller secrets in the shares of a larger secret without an expansion in the size of…

Cryptography and Security · Computer Science 2009-02-17 Abhishek Parakh , Subhash Kak

A Homomorphic Secret Sharing (HSS) scheme is a secret-sharing scheme that shares a secret $x$ among $s$ servers, and additionally allows an output client to reconstruct some function $f(x)$, using information that can be locally computed by…

Information Theory · Computer Science 2023-11-28 Keller Blackwell , Mary Wootters

Distributed machine learning has been widely studied in order to handle exploding amount of data. In this paper, we study an important yet less visited distributed learning problem where features are inherently distributed or vertically…

Machine Learning · Computer Science 2019-07-19 Yaochen Hu , Peng Liu , Linglong Kong , Di Niu

A (t,n)-threshold secret sharing scheme is a method to distribute a secret among n participants in such a way that any t participants can recover the secret, but no t-1 participants can. In this paper, we propose two secret sharing schemes…

Cryptography and Security · Computer Science 2012-05-02 Maggie Habeeb , Delaram Kahrobaei , Vladimir Shpilrain

We propose a new scheme for sharing symmetric key operations among a set of participants according to a (t,n) threshold access structure. We focus on anonymity properties of this scheme and show that this scheme provides improved values of…

Cryptography and Security · Computer Science 2011-05-31 Mausumi Bose , Rahul Mukerjee

Data sharing enables critical advances in many research areas and business applications, but it may lead to inadvertent disclosure of sensitive summary statistics (e.g., means or quantiles). Existing literature only focuses on protecting a…

Cryptography and Security · Computer Science 2024-06-14 Shuaiqi Wang , Rongzhe Wei , Mohsen Ghassemi , Eleonora Kreacic , Vamsi K. Potluru

Visual cryptography encrypts the secret image into $n$ shares (transparency) so that only stacking a qualified number of shares can recover the secret image by the human visual system while no information can be revealed without a large…

Combinatorics · Mathematics 2020-02-24 Hong-Bin Chen , Hsiang-Chun Hsu , Justie Su-Tzu Juan

We give graphical characterisation of the access structure to both classical and quantum information encoded onto a multigraph defined for prime dimension $q$, as well as explicit decoding operations for quantum secret sharing based on…

Quantum Physics · Physics 2016-10-11 Anne Marin , Damian Markham , Simon Perdrix

The evolving $k$-threshold secret sharing scheme allows the dealer to distribute the secret to many participants such that only no less than $k$ shares together can restore the secret. In contrast to the conventional secret sharing scheme,…

Cryptography and Security · Computer Science 2024-10-18 Qi Cheng , Hongru Cao , Sian-Jheng Lin

Secret sharing is a multi-party cryptographic primitive that can be applied to a network of partially distrustful parties for encrypting data that is both sensitive (it must remain secure) and important (it must not be lost or destroyed).…

Quantum Physics · Physics 2022-02-28 Nathan Walk , Jens Eisert

Beimel, Tassa and Weinreb (2008) and Farras and Padro (2010) partially characterized access structures of ideal weighted threshold secret sharing schemes in terms of the operation of composition. They classified indecomposable ideal…

Cryptography and Security · Computer Science 2013-08-20 Ali Hameed , Arkadii Slinko

Legacy encryption systems depend on sharing a key (public or private) among the peers involved in exchanging an encrypted message. However, this approach poses privacy concerns. Especially with popular cloud services, the control over the…

Cryptography and Security · Computer Science 2017-10-09 Abbas Acar , Hidayet Aksu , A. Selcuk Uluagac , Mauro Conti