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In 1998, Shao proposed two digital signature schemes and claimed that the security of which is based on the difficulties of computing both integer factorization and discrete logarithm. However, at the same year, Li and Xiao demonstrated that Shao's schemes are insecure are not based on any hard problem. Recently, Wei proposed two "Digital Signature Schemes Based on Two Hard Problems" to improve Shao's schemes, and showed that it can resist Li and Xiao's attack.
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