In 2004, C.-C. Yang, T.-Y. Chang and M.-S. Hwang proposed an efficient multi-secret sharing scheme based on two-variable one-way function and Shamir's secret sharing. In order to add the verifiable property into previous scheme, J. Shao and Z. Cao proposed an efficient (t,n) verifiable multi-secret sharing based on YCH [C.-C. Yang, T.-Y. Chang, M.-S. Hwang, A (t,n) multi-secret sharing scheme, ...

How to construct an ideal multi-secret sharing scheme for general access structures is difficult. In this paper, we solve an open problem proposed by Spiez et al.recently [Finite Fields and Their Application, 2011(17) 329-342], namely to design an algorithm of privileged coalitions of any length if such coalitions exist. Furthermore, in terms of privileged coalitions, we show that most of the e...

Due to the rapid growth of the next generation networking and system technologies, computer networks require new design and management. In this context, security, and more specifically, access structures have been one of the major concerns. As such, in this article, sequential secret sharing (SQS), as an application of dynamic threshold schemes, is introduced. In this new cryptographic primitiv...

Quantum secret sharing addresses the same problem that classical secret sharing does, but via quantum means. That is, Alice wishes to send a secret to n agents, and any k ≤ n agents can collaborate to recover the secret. However, for any fewer than k agents, collaboration will information-theoretically reveal no information about the secret. Such protocols are called (k,n)threshold schemes, and...

A (t + 1, n) proactive secret sharing is to protect a secret in long-lived system by distributing it to a group of n participants and refreshing their shares periodically in this fixed group, while any t+1 and more than t+1 shares can reconstruct the secret. In some environment, it needs to change not only the number of participants n but also the threshold value t. An adaptive proactive secret...

We consider multi-party computation (MPC) in a hierarchical setting, where participants have different capabilities depending on their position in the hierarchy. First, we give necessary conditions for multiplication of secrets in a hierarchical threshold linear secret sharing scheme (LSSS). Starting with known ideal constructions, we then propose a modified scheme with improved multiplication ...

Although secret sharing techniques have been applied to implement secure electronic sealed-bid auction for a long time, problems and attacks still exist in secret-sharing-based electronic sealed-bid auction schemes. In this paper, a new secret-sharing-based first-bid e-auction scheme is designed to achieve satisfactory properties and efficiency. Correctness and fairness of the new auction are b...

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 weighted threshold access structures, and proved that any other ideal weighted threshold access structure is a composition of indecomposable ones. It remained uncle...

With prevalent attacks in communication, sharing a secret between communicating parties is an ongoing challenge. Moreover, it is important to integrate quantum solutions with classical secret sharing schemes with low computational cost for the real world use. This paper proposes a novel hybrid threshold adaptable quantum secret sharing scheme, using an m-bonacci orbital angular momentum (OAM) p...

This paper presents a novel secret sharing system that is based on Chinese remainder theorem. This scheme deals with a concept of multiple secrets to be shared to different groups, such that each group receives shares of secret intended for it. The sharing is a threshold scheme, that is more than a fixed number of members from any particular group, will be able to reconstruct the secret and any...