| 卡氏积码的r-MDR码与P_r-MDS码 |
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| 引用本文： | 唐刚.卡氏积码的r-MDR码与P_r-MDS码[J].数学杂志,2012,32(2):352-356. |
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| 作者姓名： | 唐刚 |
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| 作者单位： | 黄石理工学院数理学院,湖北黄石,435002 |
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| 摘 要： | 本文研究了卡氏积码的r-广义Hamming重量计算公式和广义Singleton界,利用r-卡氏积码的子码仍为卡氏积码,证明了r-MDR码或Pr-MDR码的卡氏积码仍为r-MDR码或Pr-MDR码.同时也给出了这一个结果的部分逆命题.
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| 关 键 词： | 卡氏积码 r-广义Hamming重量 r-MDR码 Pr-MDR码 |
r-MDR CODES AND Pr-MDS CODES ON CARTESIAN PRODUCT CODES |
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| TANG Gang.r-MDR CODES AND Pr-MDS CODES ON CARTESIAN PRODUCT CODES[J].Journal of Mathematics,2012,32(2):352-356. |
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| Authors: | TANG Gang |
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| Institution: | TANG Gang(School of Math.and Physics,Huangshi College of Technology,Huangshi 435002,China) |
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| Abstract: | In this paper,the r-th generalized Hamming weight with respect to rank and the r-th generalized singleton bound are studied.According to that the subcodes of Cartesian codes are Cartesian codes,we can prove that Cartesian product code of r-MDR(Pr-MDR) code is r-MDR(Pr-MDR) code.Meanwhile the part inverse proposition for the results are given. |
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| Keywords: | product code generalized Hamming weight generalized singleton bound |
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