Academic Catalog

IAM720 SPECIAL TOPICS: HYPERELLIPTIC CURVE

Course Code: 9700720
METU Credit (Theoretical-Laboratory hours/week): 3(0-0)
ECTS Credit: 8.0
Department: Institute Of Applied Mathematics
Language of Instruction: English
Level of Study: Graduate
Course Coordinator: Assoc.Prof.Dr. OÐUZ YAYLA
Offered Semester: Fall or Spring Semesters.

Course Content

The course introduces hyperelliptic curves. focusing on their mathematical foundations. Jacobian varieties. and group law. It covers divisor arithmetic using Cantor's algorithm and compares security and efficiency tradeoffs between hyperelliptic and elliptic curves. Students learn to design and implement hyperelliptic curve cryptosystems and signature schemes. analyze their computational complexity. and explore recent advances and practical challenges in this area.