Using the idempotent obtained one can discuss quadratic residue code over Z__2_m to see whether it is similar to the ( quadra-) tic residue code over a finite field. 利用具有这些性质的幂等元可讨论环Z2m上的二次剩余码是否具有有限域上二次剩余码的性质。
The cyclic code of length p over F q with generator g 0 ( x) is called cubic residue code. Fq上长度为p由go(x)生成的循环码称为三次剩余码。
On Forth Residue Code and Extending 关于四次剩余码及其推广
In this paper, it is shown that the minimal distance of a cubic residue code is not smaller than 3 p. 证明了这样码的极小距离d≥3p。