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.
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每次想起她，都是十四岁的模样，有点黑的皮肤，洁白的牙齿，灿烂的笑容，还有两根长长的麻花辫。
Every time when she comes to my thoughts, she was just in her fourteen. Her little dark skin, pure white teeth, sweat smile and her long twist pigtail.
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.
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