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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

A new concept of quantum secret sharing is introduced, in which collaboration among participants are encourage. And the dealer can ask the participants to send back their share and revoke the secret before a predefined date or event, i.e.…

Quantum Physics · Physics 2024-09-13 Xiaogang Cheng , Ren Guo

A secret sharing scheme is a method to store information securely and reliably. Particularly, in a threshold secret sharing scheme, a secret is encoded into $n$ shares, such that any set of at least $t_1$ shares suffice to decode the…

Information Theory · Computer Science 2016-04-04 Wentao Huang , Michael Langberg , Joerg Kliewer , Jehoshua Bruck

We investigate quantum secret sharing schemes constructed from $[[n,k,\delta]]_D$ non-binary stabilizer quantum error correcting codes with carrier qudits of prime dimension $D$. We provide a systematic way of determining the access…

Quantum Physics · Physics 2012-05-16 Vlad Gheorghiu

A {k,n}-threshold scheme based on two-dimensional memory cellular automata is proposed to share images in a secret way. This method allows to encode an image into n shared images so that only qualified subsets of k or more shares can…

Cryptography and Security · Computer Science 2007-05-23 Gonzalo Alvarez , Luis Hernandez , Angel Martin

Secret sharing is a cryptographic scheme to encode a secret to multiple shares being distributed to participants, so that only qualified sets of participants can restore the original secret from their shares. When we encode a secret by a…

Quantum Physics · Physics 2024-04-25 Mamoru Shibata , Ryutaroh Matsumoto

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

Secure spectrum auctions can revolutionize the spectrum utilization of cellular networks and satisfy the ever increasing demand for resources. In this paper, a multi-tier dynamic spectrum sharing system is studied for efficient sharing of…

Networking and Internet Architecture · Computer Science 2016-10-25 Ahmed Abdelhadi , Haya Shajaiah , Charles Clancy

Modern cryptography is essential to communication and information security for performing all kinds of security actions, such as encryption, authentication, and signature. However, the exposure possibility of keys poses a great threat to…

Cryptography and Security · Computer Science 2020-10-27 Longjiang Li , Bingchuan Ma , Jianjun Yang , Yonggang Li , Yuming Mao

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 stabilizer-based quantum secret sharing schemes, it is known that some shares can be distributed to participants before a secret is given to the dealer. This distribution is known as advance sharing. It is already known that a set of…

Quantum Physics · Physics 2025-02-11 Mamoru Shibata

We show a construction of a quantum ramp secret sharing scheme from a nested pair of linear codes. Necessary and sufficient conditions for qualified sets and forbidden sets are given in terms of combinatorial properties of nested linear…

Information Theory · Computer Science 2018-08-10 Ryutaroh Matsumoto

A resilient secret sharing scheme is supposed to generate the secret correctly even after some shares are damaged. In this paper, we show how quantum error correcting codes can be exploited to design a resilient quantum secret sharing…

Quantum Physics · Physics 2015-02-02 Arpita Maitra , Goutam Paul

Secret sharing is a cryptographic discipline in which the goal is to distribute information about a secret over a set of participants in such a way that only specific authorized combinations of participants together can reconstruct the…

Information Theory · Computer Science 2017-11-13 Johannes Rauh

We show that many known schemes of the public key exchange protocols in the algebraic cryptography, that use two-sided multiplications, are the specific cases of the general scheme of such type. In most cases, such schemes are built on…

Group Theory · Mathematics 2017-09-20 V. A. Roman'kov

Shamir's (n, k) threshold secret sharing is an important component of several cryptographic protocols, such as those for secure multiparty-computation and key management. These protocols typically assume the presence of direct communication…

Cryptography and Security · Computer Science 2014-10-23 Nihar B. Shah , K. V. Rashmi , Kannan Ramchandran

Multi-Party Computation (MPC) is a technique enabling data from several sources to be used in a secure computation revealing only the result while protecting the original data, facilitating shared utilization of data sets gathered by…

Cryptography and Security · Computer Science 2020-07-03 Pierre-Francois Wolfe , Rushi Patel , Robert Munafo , Mayank Varia , Martin Herbordt

In the $\left( {t,n} \right)$ threshold quantum secret sharing scheme, it is difficult to ensure that internal participants are honest. In this paper, a verifiable $\left( {t,n} \right)$ threshold quantum secret sharing scheme is designed…

Cryptography and Security · Computer Science 2020-08-26 Li-Juan Liu , Zhi-Hui Li , Zhao-Wei Han , Dan-Li Zhi

This correspondence studies the secrecy communication of the single-input single-output multi-eavesdropper (SISOME) channel with multiple single-antenna jammers, where the jammers and eavesdroppers are distributed according to the…

Information Theory · Computer Science 2016-11-17 Chao Wang , Hui-Ming Wang

A Publicly Verifiable Secret Sharing (PVSS) scheme allows anyone to verify the validity of the shares computed and distributed by a dealer. The idea of PVSS was introduced by Stadler in [18] where he presented a PVSS scheme based on…

Cryptography and Security · Computer Science 2013-08-01 Assia Ben Shil , Kaouther Blibech , Riadh Robbana , Wafa Neji