Secret Sharing with Reusable Polynomials

Liqun Chen, Dieter Gollmann, Chris J. Mitchell, Peter R. Wild

Abstract: We present a threshold secret sharing scheme based on polynomial interpolation and the Diffie-Hellman problem. In this scheme shares can be used for the reconstruction of multiple secrets, shareholders can dynamically join or leave without distributing new shares to the existing shareholders, and shares can be individually verified during both share distribution and secret recovery.