Digital signatures are used to verify that the message was actually sent by the sender; they combine the use of message digests and public key cryptography.

数字签名用于验证消息是否真正由发送方发送；数字签名结合了消息摘要和公钥密码术的使用。

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A new invisible watermarking technique which could localize tampered areas for image authentication was proposed, based on image feature and public key cryptography.

提出一种基于图像特征和公钥密码系统的易损水印算法，在图像认证中能够定位图像被篡改的位置。

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While this doesn't sound like a big deal, the difficulty of factoring and finding a discrete logarithm forms the basis of most if not all public-key cryptography systems.

虽然听起来这并不是什么了不起的事，但分解并找到一个离散对数的困难形成了大部分公用密钥密码学系统的基础，如果不是全部的话。

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The emulator for first generation games can be updated via an official Microsoft download burned to CD by the user, though the CDs' content will be encrypted and signed with public key cryptography.

ENGADGET: So just how hack-proof is the 360?

It would use public key cryptography to generate and store thousands of public and private key pairs, one for every app or gadget the user needs to unlock.

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