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| The Binary Images of the Linear Codes and Their Dual Codes Over F2+uF2 |
| Yu Hai-feng①②; Zhu Shi-xin② |
①Dept.of Mathematics, Hefei University, Hefei 230022, China;
②Dept.of Applied Mathematics, Hefei University of Technology, Hefei 230009, China |
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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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Received: 08 March 2005
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2006, Vol. 28 
