多项式剩余类环Z_(2m)[x]/(x^p-1)上的幂等元

Idempotent over polynomial residue class ring Z__(2m)[x]/(x^p-1)

讨论了多项式剩余类环Z2m[x]/(xp-1)上的幂等元的表达式及对称性质.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 idempotent over polynomial residue class ring Z__2_m[x]/(x^p-1) and their expression and symmetric properties are discussed.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.