Self-selecting Sub-secret Keys Sharing Scheme Based on Polynomials over Elliptic Curve

Traditional secret sharing scheme generally exists two shortages:each participant's sub-secret key is distributed by the certification center; the sub-secret keys can not be repeated to use. Both shortages brought to the practical application a lot of inconvenience, and n sub-secret keys can only be used to share a master key in terms of resources is a waste. This article based on the reference proposed a scheme with sub-secret keys be selected by participants, and those sub-secret keys can be reused. The scheme based on the security of elliptic curve discrete most of the difficult nature is more practical than the reference ,and the realization of the process can solve the problem about the authenticity of the sub-secret keys.