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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

There are several methods for constructing secret sharing schemes, one of which is based on coding theory. Theoretically, every linear code can be used to construct secret sharing schemes. However, in general, determining the access…

Cryptography and Security · Computer Science 2013-09-06 Yun Song , Zhihui Li

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

In this paper we define a kind of decomposition for a quantum access structure. We propose a conception of minimal maximal quantum access structure and obtain a sufficient and necessary condition for minimal maximal quantum access…

Quantum Physics · Physics 2017-01-17 Chen-Ming Bai , Zhi-Hui Li , Yong-Ming Li

We construct a new protocol for attribute-based encryption with the use of the modification of the standard secret sharing scheme. In the suggested modification of the secret sharing scheme, only one master key for each user is required…

Cryptography and Security · Computer Science 2020-11-24 M. A. Kudinov , A. A. Chilikov , E. O. Kiktenko , A. K. Fedorov

In this paper a secret sharing scheme based on the word problem in groups is introduced. The security of the scheme and possible variations are discussed in section 2. The article concludes with the suggestion of two categories of platform…

Cryptography and Security · Computer Science 2010-09-02 Dimitrios Panagopoulos

I present a variety of results on the theory of quantum secret sharing. I show that any mixed state quantum secret sharing scheme can be derived by discarding a share from a pure state scheme, and that the size of each share in a quantum…

Quantum Physics · Physics 2009-10-31 Daniel Gottesman

Secret sharing allows distributing a secret among several parties such that only authorized subsets, specified by an access structure, can reconstruct the secret. Sehrawat and Desmedt (COCOON 2020) introduced hidden access structures, that…

Cryptography and Security · Computer Science 2021-09-14 Vipin Singh Sehrawat , Foo Yee Yeo , Yvo Desmedt

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

We construct general schemes for multi-partite quantum secret sharing using multi-level systems, and find that the consistent conditions for valid measurements can be summarized in two simple algebraic conditions. The scheme using the very…

Quantum Physics · Physics 2015-07-22 I-Ching Yu , Feng-Li Lin , Ching-Yu Huang

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

In the paper we discuss how to share the secrets, that are graphs. So, far secret sharing schemes were designed to work with numbers. As the first step, we propose conditions for "graph to number" conversion methods. Hence, the existing…

Cryptography and Security · Computer Science 2007-05-23 Kamil Kulesza , Zbigniew Kotulski

In this paper, we consider the case that sharing many secrets among a set of participants using the threshold schemes. All secrets are assumed to be statistically independent and the weak secure condition is focused on. Under such…

Information Theory · Computer Science 2023-12-12 Jiahong Wu , Nan Liu , Wei Kang

The ramp quantum secret sharing proposed by Ogawa et al. has the highest possible coding rate given a threshold type access structure. On the other hand, in some quantum secret sharing schemes, it is known that some shares can be…

Quantum Physics · Physics 2024-04-25 Satoshi Masumori , Ryutaroh Matsumoto

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

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

Fundamental results on secret sharing schemes (SSSs) are discussed in the setting where security and share size are measured by (conditional) min-entropies. We first formalize a unified framework of SSSs based on (conditional) R\'enyi…

Cryptography and Security · Computer Science 2016-11-15 Mitsugu Iwamoto , Junji Shikata

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

We present a simple and practical protocol for the solution of a secure multiparty communication task, the secret sharing, and its experimental realization. In this protocol, a secret message is split among several parties in a way that its…

This note analyses one of the existing space efficient secret sharing schemes and suggests vulnerabilities in its design. We observe that the said algorithm fails for certain choices of the set of secrets and there is no reason for…

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