在有限环R=F2+uF2与F2之间定义了一个新的Gray映射。证明了该映射是(Rn,Lee重量)到(F22n,Hamming重量)的等重等距映射,同时证明了环F2+uF2上线性码C的二元像准(C)是距离不变码,而且如果环F2+uF2上线性码C是Lee恒距码,则二元像准(C)是F2上Hamming恒距码。
In this paper,the Gray map φ form R=F2 +uF2 to F2 is given,and the Gray map is proved to be weight-preserving and distance-preserving.The binary image of a linear code C over ring R,called φ(C) is Hamming distance invariant,if C is Lee distance invariant.