| Summary: | In the rational secret sharing scheme, fairness is the goal that all participants expect. Based on the princi-ple of uniform grouping, the scheme was verified by combining bilinear pair knowledge and bivariate one-way function to verify the deception problem of the distributor and the participant.The number of sub-secret shares dis-tributed by the distributor to each group of participants is at most one, effectively restricting the deviation behavior of the participant. In the end, participants can implement fair reconstruction secret in four rounds according to the protocol, which reduces the communication complexity of fair and rational secret sharing scheme to a certain extent, and has certain application value.
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