Key generation plays an important role in a cryptosystem.Its security is significant for the security of the whole cryptosystem.In situations such as group oriented cryptography
group secret communication and electronic commerce
distributed key generation are needed.The problem of distributed key generation based on vector space access structures is studied.On the foundation of an information theoretic secure verifiable secret sharing scheme over vector space access structures
a secure and efficient distributed key generation protocol over this kind of access structures is presented.Compared to the existing distributed key generation protocols based on threshold access structures
the new protocol has a wider range of applications.