文章目录
- 总结
- Why we need hash functions
- Digital Signature with a Hash Function
- Basic Protocol for Digital Signatures with a Hash Function
- Principal input–output behavior of hash functions
- Security properties
- The three security requirements of hash functions
- Why the hash-based digital signature scheme is secure?
- Collision Resistance and the Birthday Attack
- Algorithms
- Constructing Hash Functions from Block Ciphers
- Dedicatd Hash Functions -- MD4 family of hash functions
- Example: The Secure Hash Algorithm SHA-256
- SHA-2
- SHA-256 Preprocessing
- The SHA-256 Compression Function
- Iteration j in the SHA-256 compression function
- 资料
总结
Why we need hash functions
Digital Signature with a Hash Function
Basic Protocol for Digital Signatures with a Hash Function
Principal input–output behavior of hash functions
Security properties
The three security requirements of hash functions
Why the hash-based digital signature scheme is secure?
Collision Resistance and the Birthday Attack
2的80次方是当前计算机可达到的
Algorithms
Constructing Hash Functions from Block Ciphers
每个xi是分组加密的输入长度，最终哈希结果是xn经过e函数的结果
这个反过来了，但最终哈希结果是xn经过e函数的结果
Dedicatd Hash Functions – MD4 family of hash functions
Example: The Secure Hash Algorithm SHA-256
SHA-2
总体框架
每块大小为 512 位
SHA-256 Preprocessing
The SHA-256 Compression Function
Iteration j in the SHA-256 compression function
资料
-
关于许多哈希函数及其规范的概览：
- http://ehash.iaik.tugraz.at/wiki/The_Hash_Function_Zoo
-
生日悖论（Birthday Paradox）：
- Wikipedia 提供了一个很好的解释：
- http://en.wikipedia.org/wiki/Birthday_problem
-
SHA 标准：
- SHA1+2：
- http://csrc.nist.gov/publications/fips/fips180-2/fips180-2withchangenotice.pdf
- SHA3 概述：
- http://ehash.iaik.tugraz.at/wiki/The_SHA-3_Zoo
- SHA1+2：
-
CrypTool：
- CrypTool 是一个学习程序，同时也可以进行哈希操作：
- http://www.cryptool.org/