Explicit Construction of Global Function Fields with Many Rational Places

纠错码和密码系统的使用是我们日常生活中所依赖的许多技术设备安全可靠运行的基础。本质上看不见的是，编码理论和密码学对于银行（ATM机、电子银行）、商业（电子商务）、国防（密码学）和娱乐（数字电视和广播、音乐cd、dvd）都是必不可少的。虽然某些“好”码族和密码系统可以从抽象理论保证存在的特定功能域构造出来，但通常目前还不知道功能域的实际构造。我们的目标是缩小这一差距，使更大范围的“好”代码和密码系统可用于实际应用。

The use of error-correcting codes and cryptosystems is fundamental to the secure and reliable operation of many technological devices that we depend upon in our everyday lives. Essentially invisible, both coding theory and cryptography are essential for banking (ATM machines, e-banking), commerce (e-commerce), defense (cryptography) and entertainment (digital TV and radio, music CDs, DVDs). While certain families of "good" codes and cryptosystems can be constructed from specific function fields whose existence is guaranteed by abstract theory, often no actual construction for the function field is currently known. We aim to close this gap, making a greater range of "good" codes and cryptosystems available for practical applications.