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
-
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.
-
Hammons R, Kumar P V, Calderbank A R, Sloane N J A, Sole P. The Z4-linearity of Kerdock, Preparata, Goethals, related codes[J].IEEE Trans. Inform.Theory.1994, 40(2):301-[2]Carlet C. 2kz-Linear codes[J].IEEE Trans. Inform. Theory.1998, 44(4):1543-[3]朱士信. 线性码的对称形式的MacWillmas恒等式[J].电子与信息学报.2003, 25(7):901-浏览[4]Bonnecaze A, Udaya P. Cyclic codes and self-dual codes over F2+uF2 , IEEE Trans[J].Inform. Theory.1999, 45(4):1250-[5]Udaya P, Bonnecaze A. Decoding of cyclic codes over F2+uF2 [J].IEEE Trans. Inform.Theory.1999, 45(6):2148-[6]Dougherty S T, Gaborit P, Harad M, et al.. Type II codes over F2+uF2 [J].IEEE Trans. Inform. Theory.1999, 45(1):32-[7]Zhe-xian Wan, Quaternay code[M]. Singapore: World Scientific, 1997, Chapter 1,3.[8]肖国镇. 卿斯汉 《编码理论》. 北京: 国防工业出版社, 1993: 63.70. -
计量
- 文章访问数: 2386
- HTML全文浏览量: 131
- PDF下载量: 743
- 被引次数: 0
下载:
