A Blakley Secret Sharing Scheme without Trusted Share Distributed Center

Against trusted share distributed center (SDC) maybe dishonest or hard to find a trusted one, a secret sharing scheme (SSS) based on Blakley without SDC is proposed for the first time. By using secure scalar product protocol in secure multi-party computation, a secure multi-party vectors rank with low communication and low computation complex is designed. The SSS is based on this protocol, and it is easy to realize, against participants fraudulent, able to update secret, easy to add new partners. So this scheme is practical.