Abstract: Compared with RSA and ECC, XTR keys are much smaller than RSA keys of equivalent security, and are at most twice as big as ECC keys, but parameter and key selections for XTR are much faster than ECC. With the fast method for computing the trace of the elements in the finite field, two blind signature schemes based on extended XTR system are presented in this paper, the security is equivalent to solving discrete logarithm problem of extended XTR group while the datum is only 1/3 of the previous schemes.