然而，公开钥匙必须更长，因不对称算法中的数学是不同的。

Public keys, however, must be larger, because the mathematics in an asymmetric algorithm are different.

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然后，佐伊利用弗兰妮的公开钥匙对发送给弗兰妮的报文加密。

Zooey then USES Franny's public key to encrypt a message to her.

youdao

公开钥匙加密法解决了管理几个钥匙的问题，但是与常规加密相比，公开钥匙加密慢些。

Public-key encryption solves the problem of managing several keys, but encryption is slow compared to conventional encryption.

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