Information-Theoretical Secure Verifiable Secret Sharing on Vector Space Access Structures
向量空间接入结构上信息论安全的可验证秘密分享

Verifiable secret sharing widely applies in the areas such as safeguarding and legal use of confidential information, key escrow, group oriented cryptography, secured multiparty computation, access control and electronic commerce. In this paper, the problem of verifiable secret sharing on vector space access structures is studied. An information-theoretical secure verifiable secret sharing protocol on this kind of access structures is proposed. Compared with generalized verifiable secret sharing protocols available, the newly proposed protocol has not only a higher information rate, but also a far lower cost of computation and communication.