Elliptic curve cryptography - implementation and security issues

隐私和安全是现代生活的两个明显的必需品。然而，当涉及到保护数字数据时，这些都是尚未得到很好理解的新概念。1978年公钥密码术的发明使这种努力成为现实，因此现在我们有了一种安全地执行许多电子任务的实用方法，其中身份证明是必不可少的。签名、认证、密钥协议是当今我们日常电子生活的一部分，无论是在线交易还是从ATM取款。仍然存在许多问题，也因为黑客的攻击越来越复杂。按照这种思路，我们要求执行这些任务的公钥原语达到标准的安全级别，最快的实现。我的研究涉及通过使用椭圆曲线来加速这些计算实现，在另一个方向上，我也将研究椭圆曲线的安全性，并确保没有人能产生“假曲线”。很容易破裂

Privacy and security are two obvious necessities of modern life. Yet, when it comes to protecting digital data, these are new concepts that are still not well understood. The invention of public-key cryptography in 1978 made such endeavours become a reality, so that now we have a practical way of performing securely many electronic tasks where a proof of identity is essential. Signatures, authentications, key agreements are nowadays part of our daily electronic life, be it in an online transaction or when withdrawing money from an ATM.Still many problems remain, also because hackers have increasingly more sophisticated attacks.In this line of thought, we require from the public-key primitives that perform these tasks that they achieve a standard level of security, with the fastest possible implementation.My research involves speeding up these computational implementations through the use of elliptic curves, which  are now faster than RSA.In another direction I will also investigate the security of elliptic curves and make sure that nobody can produce "phony curves" which are easily crackable.