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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

Secret sharing is a fundamental primitive in cryptography, and it can be achieved even with perfect security. However, the distribution of shares requires computational assumptions, which can compromise the overall security of the protocol.…

Quantum Physics · Physics 2025-04-29 Alex B. Grilo , Lucas Hanouz , Anne Marin

A (k,n)-threshold secret-sharing scheme allows for a string to be split into n shares in such a way that any subset of at least k shares suffices to recover the secret string, but such that any subset of at most k-1 shares contains no…

Quantum Physics · Physics 2017-12-06 Yingkai Ouyang , Si-Hui Tan , Liming Zhao , Joseph F. Fitzsimons

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

In this paper, we propose a class of threshold secret sharing schemes with repairing function between shares without the help of the dealer, that we called repairable threshold secret sharing schemes. Specifically, if a share fails, such as…

Cryptography and Security · Computer Science 2015-02-05 Xuan Guang , Jiyong Lu , Fang-Wei Fu

Secure Multiparty Computation (MPC) can improve the security and privacy of data owners while allowing analysts to perform high quality analytics. Secure aggregation is a secure distributed mechanism to support federated deep learning…

Cryptography and Security · Computer Science 2022-05-04 Timothy Stevens , Joseph Near , Christian Skalka

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

Verifiable Secret-Sharing (VSS) is a fundamental primitive in secure distributed computing. It is used as a building block in several distributed computing tasks, such as Byzantine agreement and secure multi-party computation. In this…

Cryptography and Security · Computer Science 2022-02-07 Anirudh Chandramouli , Ashish Choudhury , Arpita Patra

In the concurrent graph sharing game, two players, called First and Second, share the vertices of a connected graph with positive vertex-weights summing up to $1$ as follows. The game begins with First taking any vertex. In each proceeding…

Combinatorics · Mathematics 2015-10-06 Steven Chaplick , Piotr Micek , Torsten Ueckerdt , Veit Wiechert

We consider secret sharing schemes with a classical secret and quantum shares. One example of such schemes was recently reported whose access structure cannot be realized by any secret sharing schemes with classical shares. In this paper,…

Quantum Physics · Physics 2019-04-11 Ryutaroh Matsumoto

A circular quantum secret sharing protocol is proposed, which is useful and efficient when one of the parties of secret sharing is remote to the others who are in adjacent, especially the parties are more than three. We describe the process…

Quantum Physics · Physics 2012-08-27 Fu-Guo Deng , Hong-Yu Zhou andGui Lu Long

The secret sharing schemes are the important tools in cryptography that are used as building blocks in many secured protocols. It is a method used for distributing a secret among the participants in a manner that only the threshold number…

Cryptography and Security · Computer Science 2018-01-12 K. Vishnu Priyanka , M. Gowthami , O. Susmitha , G. Prathyusha , Naresh Babu Muppalaneni

A general theory for constructing linear secret sharing schemes over a finite field $\Fq$ from toric varieties is introduced. The number of players can be as large as $(q-1)^r-1$ for $r\geq 1$. We present general methods for obtaining the…

Algebraic Geometry · Mathematics 2016-03-15 Johan P. Hansen

This work proposes a $d$-dimensional quantum multi-secret sharing scheme with a cheat detection mechanism. The dealer creates multiple secrets and distributes the shares of these secrets using multi-access structures and a monotone span…

Quantum Physics · Physics 2023-10-23 Deepa Rathi , Sanjeev Kumar

We study a secret sharing problem with three secrets where the secrets are allowed to be related to each other, i.e., only certain combinations of the three secrets are permitted. The dealer produces three shares such that every pair of…

Information Theory · Computer Science 2023-05-01 Hari Krishnan P. Anilkumar , Aayush Rajesh , Varun Narayanan , Manoj M. Prabhakaran , Vinod M. Prabhakaran

Secret sharing is the art of securely sharing information between more than two people in such a way that its reconstruction requires the collaboration of a certain number of parties. Entanglement-based secret sharing schemes which utilise…

Privacy preservation in distributed computations is an important subject as digitization and new technologies enable collection and storage of vast amounts of data, including private data belonging to individuals. To this end, there is a…

Cryptography and Security · Computer Science 2021-07-05 Katrine Tjell , Rafael Wisniewski

In this paper, we study an information-theoretic secret sharing problem, where a dealer distributes shares of a secret among a set of participants under the following constraints: (i) authorized sets of users can recover the secret by…

Information Theory · Computer Science 2021-11-15 Vidhi Rana , Remi A. Chou , Hyuck Kwon

This paper introduces the first two-dimensional XOR-based secret sharing scheme for layered multipath communication networks. We present a construction that guarantees successful message recovery and perfect privacy when an adversary…

Cryptography and Security · Computer Science 2025-09-30 Wai Ming Chan , Remi Chou , Taejoon Kim

Secret sharing allows a user to split a secret into many shares so that the secret can be recovered if, and only if, an authorized set of shares is collected. Although secret sharing typically does not require any computational hardness…

Cryptography and Security · Computer Science 2024-05-15 James Bartusek , Justin Raizes
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