中文摘要：

文章研究了有限链环R=Fq＋uFq＋u2Fq＋…＋uk-1Fq上长为n的线性码关于齐次距离的覆盖半径,其中uk=0,q为某一素数幂。构造了环R上的广义Gray映射,得到了R上线性码关于覆盖半径的相关性质,并研究了环R上线性码覆盖半径的上下界。

英文摘要：

In this paper,the covering radius of linear codes over R=Fq＋uFq＋u2Fq＋…＋uk-1Fq with length nabout homogeneous distance is studied,where uk=0,qis a power of prime.Some properties of linear codes over Rabout homogeneous distance are obtained by generalized Gray map.The upper and lower bounds of covering radius of linear codes over Rabout homogeneous distance are also studied.