Efficient implementations of elliptic curve cryptography

椭圆曲线密码（ECC）正迅速成为实现公钥密码的首选方法。这在很大程度上是由于ECC非常适合于受限环境，特别是那些需要8位处理器的环境。我们现在看到ECC部署在各种消费电子（CE）产品中。例如，ECC包含在称为数字传输内容保护（DTCP）的新CE标准中，该标准用于保护通过数字端口移动的内容。因此，我们现在看到ECC在电视和DVD播放器中实现。该技术的新的且潜在的巨大市场是在传感器和RFID（射频识别）领域。这些领域无疑是最受限制的环境，也是以数字签名和密钥协议的形式增加高级别安全性的最具挑战性的领域。我的研究计划继续调查ECC在不同环境中的有效实施。我还将继续致力于设计和分析离散日志协议的密钥协商，签名方案，隐式认证和数字邮政标记。

Elliptic Curve Cryptography (ECC) is rapidly becoming the method of choice for implementing public-key cryptography. In large part this is due to the fact that ECC is ideally suited to constrained environments especially those that require 8-bit processors. We are now seeing ECC deployed in diverse consumer electronics (CE) products. For example, ECC is included in a new CE standard called the Digital Transmission Content Protection (DTCP) that is being used to secure content moving over a digital port. Hence we are now seeing ECC implemented in televisions and DVD players. New and potentially large markets for the technology are in the areas of sensors and RFID (Radio Frequency Identification). These areas are undoubtedly the most constrained environments and the most challenging to add high-level security in the form of digital signatures and key agreement.My research program continues the investigation of the efficient implementation of ECC in different environments. I will also continue to work on the design and analysis of discrete-log protocols for key agreement, signature schemes, implicit certification, and digital postal marks.