Sequential secret sharing scheme based on Chinese remainder theorem

Abstract

Multilevel Sequential secret sharing scheme is a composition of multilevel threshold secret sharing and multi-stage multi-secrets sharing scheme. In this scheme, shareholders are partitioned into multiple subsets. Each subset will have multi-secrets. Shareholders in each subset could reconstruct many secrets in the consecutive stage if t or more number of shares are available. In addition, a lower level subset can use higher level subset shares to reconstruct the secret. Verification is provided to detect cheating in the proposed scheme. This scheme is unconditionally secure and it is efficient.