用幂等生成元的形式定义了环R=Fl+vFl+v2Fl(v3=v,l为奇素数)上的四种二次剩余码,探讨了这四种二次剩余码之间的关系。进一步地,得到了这四种二次剩余码与其对偶码之间的联系。
Quadratic residue codes over the ring R = Fl+ vFl+ v^2Fl are defined in terms of their idempotent generators,where v3= v and l is an odd prime. The relations among the four codes are discussed. Furthermore,the relations between the four codes and their dual codes are obtained.