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Cryptography in Chinese consists of two characters meaning "secret coded". Thanks to Ch'in Chiu-Shao and his successors, the Chinese Remainder Theorem became a cornerstone of public key cryptography. Today, as we observe the constant usage of high-speed computers interconnected via the Internet, we realize that cryptography and its related applications have developed far beyond "secret coding". China, which is rapidly developing in all areas of technology, is also writing a new page of history in cryptography. As more and more Chinese become recognized as leading researchers in a variety of topics in cryptography, it is not surprising that many of them are Professor Xiao's former students. Progress on Cryptography: 25 Years of Cryptography in China is a compilation of papers presented at an international workshop in conjunction with the ChinaCrypt, 2004. After 20 years, the research interests of the group have extended to a variety of areas in cryptography. This edited volume includes 32 contributed chapters. The material will cover a range of topics, from mathematical results of cryptography to practical applications. This book also includes a sample of research, conducted by Professor Xiao's former and current students. Progress on Cryptography: 25 Years of Cryptography in China is designed for a professional audience, composed of researchers and practitioners in industry. This book is also suitable as a secondary text for graduate-level students in computer science, mathematics and engineering.