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Volume 28 Issue 11
Sep.  2010
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Yu Hai-feng, Zhu Shi-xin. The Binary Images of the Linear Codes and Their Dual Codes Over F2+uF2[J]. Journal of Electronics & Information Technology, 2006, 28(11): 2121-2123.
Citation: Yu Hai-feng, Zhu Shi-xin. The Binary Images of the Linear Codes and Their Dual Codes Over F2+uF2[J]. Journal of Electronics & Information Technology, 2006, 28(11): 2121-2123.

The Binary Images of the Linear Codes and Their Dual Codes Over F2+uF2

  • Received Date: 2005-03-08
  • Rev Recd Date: 2005-08-30
  • Publish Date: 2006-11-19
  • 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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  • 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.
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