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可验证秘密分享是信息安全和密码学中的一个重要研究课题,在诸如对机密信息的安全保存与合法利用、密钥托管、面向群体的密码学、多方安全计算、接入控制及电子商务等许多方面都有着广泛的应用。针对目前对一般接入结构上的可验证秘密分享的研究非常薄弱这一特点,该文对一类具有良好代数性质的接入结构———向量空间接入结构上的可验证秘密分享进行了研究。提出了一个安全高效的广义可验证秘密分享协议。新提出的协议不仅具有最优的信息速率,而且计算和通信代价都远远地低于已有的同类协议。
Verifiable secret sharing is an important research topic in information security and cryptography. It is widely used in such fields as security preservation and lawful use of confidential information, key escrow, community-oriented cryptography, secure computing, access control and e-commerce Many aspects have a wide range of applications. In view of the fact that the research on verifiable secret sharing in general access structure is very weak, this paper presents a class of access structure with good algebraic nature - verifiable secret sharing in vector space access structure the study. Proposed a safe and efficient general verifiable secret sharing protocol. The new proposed protocol not only has the best information rate, but also the computational and communication costs are much lower than the existing similar protocols.