Multiple participants enrollment in a publicly verifiable secret sharing scheme
Shundong Li · Journal of Tsinghua University(Science and Technology) · 2010
With the secret distribution of a publicly verifiable secret sharing accomplished,k old participants take the place of the dealer to distribute new shares to new participants when the dealer is off-line and new participants want to share the secret. This paper presents a more general (k,n+t) scheme transformed from the (k,n) scheme based on the publicly verifiable secret sharing scheme and non-interactive zero-knowledge proof when t(t≥1) new participants attach to the scheme. The (k,n+t) secret sharing scheme is publicly verifiable with the access structure and the former shares unchanged. Comparison with conventional publicly verifiable secret sharing schemes with enrollment ability shows that the (k,n+t) scheme flexibly allows multiple new participants to share the secret and reduces the public parameters and computational complexity.