quadratic residue code meaning in Chinese

二次剩余码

Is the eth residue of p . since the number of quadratic residue mod p is , we can guess the number of eth residue mod p is 2 ^ , and then prove this property . on the basis of eth residue , we construct a type of eth residue code of length p which is an odd prime , and extend some properties of quadratic residue codes . alsi ) we construct a cubic residue code over f % of length 31 and a 4th residue code over fs of length 13 . according to the properties of the bounds of bch codes , we determine the minimal distance of [ 31 , 21 ] code is 5 , which means this code ; can correct two errors
由模p的二次剩余个数为个，可猜测模p的e次剩余的个数为个，本文给出了该性质的证明。在e次剩余的基础上，本文构造了一类字长p为奇素数的e次剩余码，讨论了它的性质，从而推广了二次剩余码的一些结果。利用所导出的理论结果，我们构造了长为31的二元三次剩余码和长为13的三元四次剩余码，利用bch码上下界的性质，进一步确定了31 ， 21码的极小距离为5 ，它可以纠正两个错误。