介绍了辫群及其在密码学中的应用。
最后我们简单的介绍了最近所提出的一些公钥密码体制如基于辫群的密码体制，量子公钥密码体制等。
Finally, some newly presented public key systems, such as public key cryptosystem based on braid group and quantum cryptosystem, are briefly introduced.
辫群是一种非交换的无限群，该群中有许多困难问题是不可解的，如字问题、共轭问题和根问题等，利用这些困难问题可以去设计一些密码协议。
The braid group is infinite non-commutative group, and it has many hard problems that can be utilized to design cryptographic primitives, such as the word problem, conjugacy problem and root problem.
辫群是一种非交换的无限群，该群中有许多困难问题是不可解的，如字问题、共轭问题和根问题等，利用这些困难问题可以去设计一些密码协议。
The braid groups have many hard problems that can be utilized to design cryptographic primitives, for example, the word problem, conjugacy problem, and root problem.
约书亚树公园“第四营”的树林中有他为自己建造的训练馆，里面是他和他同样梳着马尾辫的伙伴们——一群梦想家，为了成为“石头大师”而努力训练。
At Camp IV in Yosemite he built his own gym among the trees, in which he and his fellow ponytailed dreamers trained to be "masters of stone".
约书亚树公园“第四营”的树林中有他为自己建造的训练馆，里面是他和他同样梳着马尾辫的伙伴们——一群梦想家，为了成为“石头大师”而努力训练。
At Camp IV in Yosemite he built his own gym among the trees, in which he and his fellow ponytailed dreamers trained to be "masters of stone".
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