A new secure generalization of threshold signature scheme

We propose a new generalized (t, n) threshold signature scheme with (k, I) threshold shared verification. The proposed scheme allows t or more signers of the signing group to cooperate to generate a valid threshold signature. And k or more verifiers of the verifying group can cooperate to authenticate the validity of the threshold signature. Some possible attacks on our new scheme are discussed, and the security analysis shows that none of them can successfully break the proposed scheme.