幂等元与本原幂等元在环中有非常重要的地位与作用。

Idempotents and primitive idempotents have very important station in the ring.

youdao

当有限域的特征不整除群的阶时，给出了直接写出相应的多项式环的本原幂等元的方法，从而可以直接写出所有的极小循环码。

In the case of(Char(F_q), |G|)=1, we provide a method that writing down directly all the primitive idempotents of related polynomial ring, and hence that of all the minimum cyclic codes.

youdao

当有限域的特征不整除群的阶时，给出了直接写出相应的多项式环的本原幂等元的方法，从而可以直接写出所有的极小循环码。

In the case of(Char(F_q), |G|)=1, we provide a method that writing down directly all the primitive idempotents of related polynomial ring, and hence that of all the minimum cyclic codes.

youdao