中文摘要：

根据环Fq＋uFq上负循环码的结构,研究了环Fq＋uFq＋u^2Fq上任意长度的负循环码.利用环同态,给出了环Fq＋uFq＋u^2Fq上长度为n的负循环码的结构,并研究了这些负循环码的对偶码,同时研究了该环上自对偶负循环码.结果表明环Fq＋uFq＋u^2Fq上自对偶负循环码存在当且仅当p=2.

英文摘要：

According to the structure of negacyclic codes over ring Fq＋uFq,the negacyclic codes of arbitrary lengths over ring Fq ＋uFq ＋u^2Fq were studied.Bying ring homomorphism,the structure of negacyclic codes over ring Fq＋uFq＋u^2Fq of length n were given,the dual codes of these negacyclic codes were studied,and the self-dual negacyclic codes over the ring were also studied.The results show that self-dual negacyclic codes over ring Fq＋uFq＋u^2Fq exist if and only if p=2.