A multi-secret sharing scheme allows several secrets to be shared amongst a group of participants. In 2005, Shao and Cao developed a verifiable multi-secret sharing scheme where each participant’s share can be used several times which reduces the number of interactions between the dealer and the group members. In addition, some secrets may require a higher security level than others involving t...

C.-C. Yang, T.-Y. Chang, M.-S. Hwang [C.-C. Yang, T.-Y. Chang, M.-S. Hwang, A (t,n) multi-secret sharing scheme, Applied Mathematics and Computation 151 (2004) 483–490] proposed an efficient multi-secret sharing scheme based on a two-variable one-way function in 2004. But the scheme doesn't have the property of verification. A practical verifiable multi-secret sharing scheme, which is based on ...

A multi-secret sharing scheme, which is based on one-dimensional reversible cellular automata with memory, allowing any member of a set of participants to share a secret color image with the rest of participants is presented. Moreover, it is also explained that with this scheme, any participant is able to recover all the secret color images if and only if the whole set of participants pools the...

A multi{secret sharing scheme is a protocol to share a number of (arbitrarily related) secrets among a set of participants in such a way that only quali ed sets of participants can recover the secrets, whereas non-quali ed sets of participants might have partial information about them. In this paper we analyze the amount of randomness needed by multi{secret sharing schemes. Given an m-tuple of ...

The paper analyses the multiple assignment secret sharing scheme, presented at the GLOBECOM'87 Conference. It contains three technical comments and a contribution to extend the capabilities of Shamir scheme. First it is proved that the proposed multiple assignment secret sharing scheme is not perfect. In fact, the non-perfectness of the scheme is due to the non-perfectness of a certain type of ...

In this paper, we introduce a method of threshold secret sharing scheme (TSSS) in which secret reconstruction is based on Babai's nearest plane algorithm. In order to supply secure public channels for transmitting shares to parties, we need to ensure that there are no quantum threats to these channels. A solution to this problem can be utilization of lattice-based cryptosystems for these channe...

Visual cryptography (VC) has been developed extensively based on its practicability. These schemes can encode a black-and-white secret image into several shadow images, and, by stacking a certain number of shadow images, can retrieve the secret image through the human visual system. In this paper, we employ Hsu et al.’s ideal multi-threshold secret sharing scheme based on monotone span programs...

In this paper we mainly focus on the fraud problem among the players and the shortcomings of multisecret sharing existed in rational secret sharing schemes. Based on the exited schemes and the related knowledge such as bit commitment agreement, we proposed a new rational multi-secret sharing scheme that has high security. In our scheme, we take an identity authentication for the dealer in distr...

Lee and Hwang proposed a multi-stage (t, n) secret sharing scheme which has fewer public values than pervious schemes. In their scheme, a group of participants share multiple secrets stage-by-stage, and only one secret share should been kept by each participant. However, in this article, we will show that multiple secrets cannot, in fact, be reconstructed stage-by-stage by the secret holder’s d...