确定码字的Hamming距离和Lee距离是解码的关键.本文对环F2+uF2上长度为2^e的循环码的结构进行了分类.确定了环F2+uF2上某些长度为2^e的循环码的Hamming距离和Lee距离.给出了环F2+uF2上长度为2^e的其它循环码的Hamming距离的上界及Lee距离的上界和下界.
Determining the Hamming distances and Lee distances of codes is the key of decoding.In this paper,the structures of cyclic codes over ring F_2+uF_2 are classified.The Hamming distances and Lee distances of some cyclic codes of length 2^e over ring F_2+uF_2 are determined.The upper bound of Hamming distance of other cyclic codes of length 2^e over ring F_2+uF_2 are given,and the upper and lower bound of Lee distances of these cyclic codes are also given.