Function sharing deals with the problem of distribution of the computation of a function (such as decryption or signature) among several parties. The necessary values for the computation are distributed to the participating parties using a secret sharing scheme (SSS). Several function sharing schemes have been proposed in the literature, with most of them using Shamir secret sharing as the unde...

A perfect secret-sharing scheme is a method to distribute a secret among a set of participants in such a way that only qualified subsets of participants can recover the secret and the joint share of participants in any unqualified subset is statistically independent of the secret. The collection of all qualified subsets is called the access structure of the perfect secret-sharing scheme. In a g...

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...

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 scheme, where a quantum state is shared among more than one parties.

Visual Cryptography is a secret sharing scheme that uses the human visual system to perform computations. This paper presents a recursive hiding scheme for 3 out of 5 secret sharing. The idea used is to hide smaller secrets in the shares of a larger secret without an expansion in the size of the latter.

A perfect secret sharing scheme permits a secret to be shared among participants so that only qualified subsets of participants can reconstruct the secret, but any unqualified subset has absolutely no information about the secret. In this paper, we first show that the general secret sharing scheme with a coterie access structure is perfect if the coterie is nondominated (ND). We then propose a ...

quantum secret sharing where a quantum participant Alice can share a secret key with two classical participants Bobs. After analyz.Secret sharing is a procedure for splitting a message into several parts so that no subset of parts is. Quantum cryptography with secret sharing in a way that will.We show how a quantum secret sharing protocol, similar to that of Hillery, Buzek, and Berthiaume. A pr...

Secret sharing schemes are one of the most important primitives in distributed systems. In perfect secret sharing schemes, collaboration between unauthorised participants cannot reduce their uncertainty about the secret. This paper presents a perfect secret sharing scheme arising from critical sets of Room squares.

Secret sharing schemes are one of the most important primitives in distributed systems In perfect secret sharing schemes collabo ration between unauthorised participants cannot reduce their uncer tainty about the secret This paper presents a perfect secret sharing scheme arising from critical sets of Room squares