1. Signal 协议架构概述
Signal 协议的核心是建立在密码学原语之上的安全消息传输系统,主要包含以下组件:
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X3DH 密钥协商协议 - 用于初始会话建立
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Double Ratchet 算法 - 用于会话中的密钥演进
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PreKey 机制 - 支持异步通信
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KDF 链 - 用于密钥派生
下面我们通过实际代码示例来解析这些核心组件。
2. X3DH 密钥交换协议
X3DH (Extended Triple Diffie-Hellman) 是Signal协议的初始握手协议,用于在两个设备之间建立共享密钥。
2.1 数学基础
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from cryptography.hazmat.primitives.asymmetric import x25519 from cryptography.hazmat.primitives import hashes from cryptography.hazmat.primitives.kdf.hkdf import HKDF # 生成身份密钥对 identity_key_private = x25519.X25519PrivateKey.generate() identity_key_public = identity_key_private.public_key() # 生成临时密钥对 ephemeral_key_private = x25519.X25519PrivateKey.generate() ephemeral_key_public = ephemeral_key_private.public_key()
2.2 X3DH 密钥计算
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def x3dh(initiator_identity_priv, initiator_ephemeral_priv, recipient_identity_pub, recipient_signed_prekey_pub, recipient_one_time_prekey_pub=None): # DH1 = initiator_identity_priv × recipient_signed_prekey_pub dh1 = initiator_identity_priv.exchange(recipient_signed_prekey_pub) # DH2 = initiator_ephemeral_priv × recipient_identity_pub dh2 = initiator_ephemeral_priv.exchange(recipient_identity_pub) # DH3 = initiator_ephemeral_priv × recipient_signed_prekey_pub dh3 = initiator_ephemeral_priv.exchange(recipient_signed_prekey_pub) # DH4 (optional) = initiator_ephemeral_priv × recipient_one_time_prekey_pub dh4 = b"" if recipient_one_time_prekey_pub: dh4 = initiator_ephemeral_priv.exchange(recipient_one_time_prekey_pub) # 组合所有DH结果 shared_secret = dh1 + dh2