Classical and Quantum Algorithms for Isogeny Problems
Institute for Pure & Applied Mathematics (IPAM) via YouTube
Overview
Syllabus
Intro
POST-QUANTUM
ELLIPTIC CURVES AND
TRADITIONAL ELLIPTIC CURVE CRYPTOGRAPHY VERSUS ISOGENIES
WHY SUPERSINGULAR ISOGENY CRYPTO?
HARDNESS ASSUMPTIONS IN PUBLIC-KEY CRYPTOGRAPHY
ISOGENY-BASED SYSTEMS
STATUS OF SECURITY OF ISOGENY-BASED CRYPTO
COMPUTATIONAL CHALLENGES
PATH FINDING IN ISOGENY GRAPHS
COMPUTING WITH ISOGENIES
REDUCTIONS TO OTHER PROBLEMS
COMMUTATIVE ISOGENY SCHEMES
REDUCTIONS-COMMUTATIVE CASE
COMMUTATIVE VERSUS NON- COMMUTATIVE ISOGENY CRYPTO
REDUCTIONS TO ENDOMORPHISM RING PROBLEM
CONCLUSION
SUMMARY
Taught by
Institute for Pure & Applied Mathematics (IPAM)