Rational Multi-Secret Sharing Scheme Based On Bit Commitment Protocol

Abstract

In this paper we mainly focus on the fraud problem among the players and the shortcomings of multi-secret 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 distribution phase. Players can verify the correctness of the identity of the dealer. In this way, it is feasible to prevent the forger from cheating. Based on the discrete logarithm problem, the player can also verify the correctness of the secret share. At the same time the secret shares are divided into groups so that the distribution phase is well designed for the multi-secret sharing. Additional the game theory model is also adopted to realize the rational multi secret sharing. The Execution efficiency, security and the feasibility has been remarkably improved in this our scheme compared with the traditional secret sharing schemes