Proxy blind signature scheme and a multi-proxy blind signature scheme based on XTR

The definition of XTR system, which is based on the elements' trace compact denotation in the subgroup of the multiplicative group of the finite field, is a new public key system. We propose two signature schemes based on XTR system with short key length, the quick speed of choosing parameters, and the less amount of computation. And we also show our signature schemes are proven secure by using forking lemma in the random oracle model. The security of our schemes is equivalent to solve the discrete logarithm in XTR group.EI01305-312