此代码的功能是实现网络纠错当中的循环冗余码纠错法，即输入一个初使二进制比特流与生成多项式可以得出一个拥有循环冗余纠错码的二进制比特流，此比特流如果转输到目的地就可以进行差错验证了，以保证代码的正确传输。代码注释里有详细的测试数据与说明。-This code is a network error-correcting function among the cyclic redundancy code error correction method, that is early to make a

一个英文写作助手，具有单词纠错，补全等功能，利用Trie树实现-An English writing assistant, has the words the error correction, fill congruent function, use Trie tree realized

PID控制bp神经网络，包括权值修正，误差训练-PID control bp neural network, including the training of weight correction, error

forward error correction program performance algorithms for use()