Beijing Institute of Mathematical Sciences and Applications

Elliptic curve cryptography (ECC) is a cornerstone of modern cryptographic systems, offering enhanced security and efficiency compared to traditional methods such as RSA. This course provides a comprehensive introduction to the mathematical foundations of elliptic curves and their application in cryptography.

The journey begins with the algebraic and geometric properties of elliptic curves, including their group law and key theorems, laying the groundwork for understanding their utility in secure communication. We then explore the core principles of public-key cryptography, illustrating how elliptic curves enable compact and high-strength cryptographic primitives. If time permits, we will introduce its applications in post-quantum cryptography.

By the end of the course, participants will gain the theoretical and practical knowledge needed to leverage elliptic curves in designing and analyzing cryptographic systems, ensuring robust protection against emerging security threats. This course is ideal for students, researchers, and professionals seeking a solid foundation in cryptography with a focus on ECC.