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ISOGENY-BASED SYSTEMS
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Classroom Contents
Classical and Quantum Algorithms for Isogeny Problems
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- 1 Intro
- 2 POST-QUANTUM
- 3 ELLIPTIC CURVES AND
- 4 TRADITIONAL ELLIPTIC CURVE CRYPTOGRAPHY VERSUS ISOGENIES
- 5 WHY SUPERSINGULAR ISOGENY CRYPTO?
- 6 HARDNESS ASSUMPTIONS IN PUBLIC-KEY CRYPTOGRAPHY
- 7 ISOGENY-BASED SYSTEMS
- 8 STATUS OF SECURITY OF ISOGENY-BASED CRYPTO
- 9 COMPUTATIONAL CHALLENGES
- 10 PATH FINDING IN ISOGENY GRAPHS
- 11 COMPUTING WITH ISOGENIES
- 12 REDUCTIONS TO OTHER PROBLEMS
- 13 COMMUTATIVE ISOGENY SCHEMES
- 14 REDUCTIONS-COMMUTATIVE CASE
- 15 COMMUTATIVE VERSUS NON- COMMUTATIVE ISOGENY CRYPTO
- 16 REDUCTIONS TO ENDOMORPHISM RING PROBLEM
- 17 CONCLUSION
- 18 SUMMARY
