Abstract: In the first scheme, the signer's public key was constructed from his biometric data. The verifier performed verification successfully by asking signer to show his biometric data, which makes the verifying operation more visible and convenient. In the second scheme, since the private key of the signer was constructed from the biometric data of the signer, it does not need to be placed in hardware, and therefore there is no worry about the loss and inconvenience caused by the fault of the hardware. These two schemes were constructed from the fuzzy extractor method proposed by Dodis, Liu scheme and classical BLS short signature scheme. Finally, two possible attacks on the schemes mentioned above were described and the ways to combat them were suggested.

Key words: BLS short signature scheme , Diffie-Hellman suppose, bilinear pairing, fuzzy extractor algorithm, identity based signature