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RFC7664

Derivation of the Password Element

1) 基于双方id、password、counter计算hash,得到base

base = H(max(Alice,Bob) | min(Alice,Bob) | password | counter)

2) 基于base,派生seed ( 1<= seed < p)

temp = KDF-n(base, "Dragonfly Hunting and Pecking")
seed = (temp mod (p - 1)) + 1

3) 如果seed二次剩余,则作为x;否则counter++,重新计算base。

4) 基于计算E公式,选取较小的y值,得到PE = (x, y)

Commit Exchange

q为阶

scalar = (private + mask) mod q
Element = - mask * PE

双方互相发送 (scalar, Element)

share = private * (peer-Element + peer-scalar * PE) 
      = private * peer-private * PE
ss = F(share)
kck | mk = KDF-n(ss, "Dragonfly Key Derivation")

Confirm Exchange

校验confirm,确认可用,则以mk做为master key建立会话

confirm = H(kck | scalar | peer-scalar | Element | Peer-Element | <sender-id>)

security

resistant to active attack, passive attack, and offline dictionary attack

不同client区分会话密钥

side-channel attack

small subgroup



Published

29 May 2023

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