基于签密的可验证向量空间多秘密共享方案

Verifiable vector space multi-secret sharing scheme based on signcryption

文章针对向量空间秘密共享研究现状,基于Zheng的签密方案、RSA密码学以及Hash函数,提出了一个可验证向量空间多秘密共享方案。在秘密恢复过程中同时实现签名和加密技术,确保方案的安全性;利用影子信息恢复秘密而无需提供子秘密,防止子秘密的泄露;参与者只须存储1个子秘密就可以共享多个秘密,提高了秘密共享方案的效率;基于向量空间存取结构,比传统的门限秘密共享方案更加具有实用价值。

Aiming at the problems of vector space secret sharing, a verifiable vector space multi-secret sharing scheme is presented based on Zheng＇ s signcryption scheme, RSA cryptography and Hash function. The technology of signature and encryption can be realized simultaneously during the secret reconstruction phase, which ensures the security of the scheme. The shadows are used to recover the secret and the participants do not need to reveal the shares to each other. Multiple secrets can be shared while each participant just needs to save one share, which improves the efficiency of the scheme. Compared with the ＇traditional threshold schemes, the presented scheme is more valuable in practical applications.