Cryptanalysis on improved user efficient blind signatures

Shao (see ibid., vol. 36, no. 16, p. 1372-74, 2000) proposed a blind signature scheme based on the Fan-Lei scheme (see ibid., vol. 34, no. 6, p. 544-46, 1998). It is shown here that Shao's scheme is not secure. Also, Shao claimed that the Fan-Lei scheme is not really blind, however this claim is demonstrated as not being true.