必修課程介紹

• 預備知識：代數
• 適合年級： 研究生
• 課程簡介：

讓學生認識密碼學方面的數學工具。

Getting acquainted with the mathematicals tools from cryptography

• 課程大綱：

1. Some Topics in Algebra and Algorithmic Number Theory
2. Some Topics in Complexity Theory
3. Substitution and Block Ciphers
4. Public-Key Cryptosystems
5. Primality and Prime Number Generation
6. Factoring
7. Elliptic Curves and Applications

• 參考書目：

1. Johannes A. Buchmann, Introduction to Cryptography, 2n Edition, Springer-Verlag, 2001.
2. Neal Koblitz, A Course in Number Theory and Cryptography, 2nd Edition, Springer-Verlag, 1994.