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Syntax of MMAPS
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Classroom Contents
The State of Cryptographic Multilinear Maps
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- 1 Intro
- 2 Crypto Tools and Constructions
- 3 Example: Discrete-Logarithm
- 4 Application: DH Key Exchange
- 5 Beyond DDH: Bilinear Maps
- 6 Main Ingredient: Testing for Zero
- 7 MMAP Constructions
- 8 Syntax of MMAPS
- 9 Restricting Operations
- 10 Examples of Tag Structures
- 11 The GGH13 Construction
- 12 Properties of GGH13
- 13 "Zeroizing" Attacks GGH13
- 14 An Attempted Fix
- 15 Breaking the Fix
- 16 The Moral (so far)
- 17 Non-Linear Zero-Test (GHL15)
- 18 Security Landscape
- 19 Thinking About MMAP Security
- 20 Known Weak Distributions
- 21 Other Attacks
- 22 Performance
