Abstract:Based on the generator matrix of linear codes C over , F2+uF2 the generator matrixes of the dual codes C and the Gray images (C) of the linear codes C are given, and the proposition that linear codes (C) are the dual codes of (C) are showed. By using this proposition, the necessary and sufficient condition of a linear code over F2+uF2 which is self-dual is obtained.
余海峰; 朱士信. 环F2+uF2上线性码及其对偶码的二元象[J]. 电子与信息学报, 2006, 28(11): 2121-2123 .
Yu Hai-feng①②; Zhu Shi-xin②. The Binary Images of the Linear Codes and Their Dual Codes Over F2+uF2. , 2006, 28(11): 2121-2123 .