A Graduate Course in Applied Cryptography
While extremely useful, cryptography is also highly brittle. The most secure cryptographic system can be rendered completely insecure by a single specification or programming error. No amount of unit testing will uncover a security vulnerability in a cryptosystem.
Instead, to argue that a cryptosystem is secure, we rely on mathematical modeling and proofs to show that a particular system satisfies the security properties attributed to it. We often need to introduce certain plausible assumptions to push our security arguments through.
This book is about exactly that: constructing practical cryptosystems for which we can argue security under plausible assumptions. The book covers many constructions for different tasks in cryptography. For each task we define a precise security goal that we aim to achieve and then present constructions that achieve the required goal. To analyze the constructions, we develop a unified framework for doing cryptographic proofs. A reader who masters this framework will be capable of applying it to new constructions that may not be covered in the book.
Table of contents
- Secret key cryptography
- Introduction
- Encryption
- Stream ciphers
- Block ciphers
- Chosen plaintext attacks
- Message integrity
- Message integrity from universal hashing
- Message integrity from collision resistant hashing
- Authenticated encryption
- Public key cryptography
- Public key tools
- Public key encryption
- Chosen ciphertext secure public-key encryption
- Digital signatures
- Fast signatures from one-way functions
- Elliptic curve cryptography and pairings
- Post-quantum cryptography: lattices and isogenies
- Analysis of number theoretic assumptions
- Protocols
- Protocols for identification and login
- Identification and signatures from sigma protocols
- Proving properties in zero-knowledge
- Modern proof systems
- Authenticated key exchange
- Two-party and multi-party secure computation
- Basic number theory
- Basic probability theory
- Basic complexity theory
- Probabilistic algorithms
| Pages : | 900 |
| Size : | 9.5 MB |
| File type : | |
| Downloads: | 143 |
| Created: | 2022-02-01 |
| License: | Out of Copyright |
| Author(s): | by Dan Boneh, Victor Shoup |
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