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Supersingular Isogeny Graphs and Endomorphism Rings - Reductions and Solutions
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- 1 Intro
- 2 The threat of quantum computers
- 3 Outline
- 4 Supersingular curves and isogenies
- 5 Isogeny problems
- 6 Endomorphism rings
- 7 Isogeny graphs
- 8 Charles Goren-Lauter hash function
- 9 Strategy to break CGL hash function
- 10 Results in this paper
- 11 Key tools
- 12 Partial attack on CGL hash function
- 13 Remember CGL hash function
- 14 Equivalence of hard problems
- 15 Sketch (1) implies (2)
- 16 Conclusion and perspectives
