Security and Design Analysis of Certificateless Signature Schemes as Teaching Cases of Cryptography and Security Course Education

More and more security and privacy issues have been exposed which lead to the urgent requirement of solving the security and privacy. Many universities and colleges offer the course education of cryptography and security and make it be an important compulsory course. However, cryptography as the key technology of solving security and privacy is very theoretical and very hard to be mastered by the students. In this paper, we use the hot cryptosystem - certificateless signature scheme as the teaching case. By adopting two current certificateless signature schemes, we analyze the existing design and security problems of these two certificateless signature schemes in cryptography course education. We give the details attacking process of forging a valid certificateless signature without known the signer's private key. In the same time, we analyze these problems and present some simple improvement methods. By using case teaching, it can make the student easier and better master the cryptosystem in cryptography course education.