环F2+uF2上线性码及其对偶码的二元象
The Binary Images of the Linear Codes and Their Dual Codes Over F2+uF2
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摘要: 利用环F2+uF2上线性码C的生成矩阵给出了码C的对偶码C 及其Gray象(C)的生成矩阵，证明了环F2+uF2上线性码及其对偶码的Gray象仍是对偶码，并由此给出了一个环F2+uF2上线性码为自对偶码的充要条件。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.
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