Sharing a secret efficiently amongst a group of participants is not easy since there is always an adversary / eavesdropper trying to retrieve the secret. In secret sharing schemes, every participant is given a unique share. When the desired group of participants come together and provide their shares, the secret is obtained. For other combinations of shares, a garbage value is returned. A thres...

Secret sharing is a method of dividing a secret among n participants and allows only qualified subset to reconstruct the secret and hence provides better reliability and availability of secret data.In the generalized secret sharing scheme, a monotone access structure of the set of participants is considered. The access structure specifies a qualified subset of participants who can reconstruct t...

A secret sharing scheme divides a secret into multiple shares by a dealer and shared among shareholders in such a way that any authorized subset of shareholders can reconstruct the secret; whereas any un-authorized subset of shareholders cannot recover the secret. If the maximal length of shares is equal to the length of the secret in a secret sharing scheme, the scheme is called ideal. If the ...

A threshold scheme, which is introduced by Shamir in 1979, is very famous as a secret sharing scheme. Dealer distribute shares of a secret value among n participants. Gathering t(≤ n) participants, a secret value can be reconstructed. This is called a (t, n) secret sharing scheme. This scheme is based on Lagrange’s interpolation formula. As regard interpolation formula, it is known not only Lag...

Abstract A (t, n) secret sharing scheme permits a secret to be divided into n shares in such a way that any t or more than t shares can reconstruct the secret, but fewer than t shares cannot reconstruct the secret. Verifiable secret sharing (VSS) has been proposed to allow each shareholder to verify the validity of his own share, but not other shareholders' shares. In this paper, we propose an ...

We consider a visual secret sharing scheme with cyclic access structure for n secret images and n shares, where two consecutive shares decode one secret image. This secret sharing scheme can be constructed by using Droste’s method. However the contrast of its scheme is 1/(2n). In this paper, it is shown that for every integer n ≥ 4, there exists no construction of such a visual secret sharing s...

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 preferring this particular scheme over alternative schemes. The paper also elaborates the adoption of a scheme proposed by Hugo Krawczyk as an extension of Shamir's ...

(t, n)-threshold secret sharing was first introduced by Shamir and Blakley separately in 1979. Apart from this, there are threshold secret sharing schemes which use the Chinese Remainder Theorem (CRT). The above mentioned are three of the most extensively researched tools used for designing a (t, n)-threshold secret sharing scheme. In this paper we propose a scheme for Multilevel Threshold Secr...