辫群

得到了一个SU（4）群的10维辫群表示.并在此基础上，找到杨&巴克斯特方程的一个含空间的解。

A braid group representation associated with the 10 - dimensional representation of SU ( 4 ) is obtained and a spectral - dependent solution of Yang - Baxter equation is found .

介绍了辫群及其在密码学中的应用。

It introduction braid group application in Cryptosystem .

辫群及其应用

" Bain Qun " and its application

从辫群上求根问题的困难性出发构造了一个数字签名方案，证明了攻击者能够成功地伪造一个签名当且仅当他能够求解辫群上的求根问题。

It is shown that the attacker can forge a signature if and if he can solve the root extraction problem defined over braid groups .

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 .

基于辫群的密钥交换协议，能够很好地解决数据加密中密钥在发送者和接收者之间的交付难题，必将会有广阔的应用前景。

Since the key exchange protocol can ensure the safety of the delivery between the sender and the receiver in data encryption , it will open up a vast range of prospects in the cryptography field .

辫群中某些特定的字问题和共轭问题是不可解的，鉴于这种特性，利用辫群的思想可以构造出在电子商务中实现数据加密的算法。

Some particular word problems and conjugacy problems in braid group are unsolvable . Herein this characteristic can make use of the braid group to construct the algorithm in order to achieve data encryption in electronic commerce .