| 极大距离可分码的存在范围研究 |
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| 引用本文： | 陈勤. 极大距离可分码的存在范围研究[J]. 电子科技大学学报(社会科学版), 1999, 0(1) |
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| 作者姓名： | 陈勤 |
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| 作者单位： | 杭州电子工业学院计算机科学与技术系 |
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| 摘 要： | 引进了Ｆ２上矩阵的行间距和极小行间距概念，给出了极小行间距的一些基本性质，证明了在小行间距的两个重要定理。给出了Ｖｎ（Ｆ２）中Ｈａｍｍｉｎｇ极小距离的两个重要结论，得到了二无线性码（ｎ，ｋ）中存在极大距离可分码的一个必要条件：当ｋ＞３时，ｎ ３（ｋ一１）；当ｋ＞５并且ｎ能被３整除时，ｎ＜（３（ｋ一１）。同时给出了ｑ元线性码（ｎ，ｋ）中存在极大距离可分码的一个必要条件。
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| 关 键 词： | 行间距，极小行间距，Hamming距离，Hamming极小距离，线性码，极大距离可分码 |
Research on Existent Range of Maximum Distance Isolated Code |
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| Chen Qin. Research on Existent Range of Maximum Distance Isolated Code[J]. Journal of University of Electronic Science and Technology of China(Social Sciences Edition), 1999, 0(1) |
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| Authors: | Chen Qin |
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| Abstract: | In this paper, row distance and minimum row distance of matrix on F2 are presented, and someproperties about row distance are given. Two important theorems are proved. According to these theorems, anecessary codition is obtained whether there is a maximum distance isolated code among 2-order (n,k) linearcodes:n is smaller than or egual to 3(k-l) when k is bigger than or egual to 3,n is smaller than 3(k-l) when k isbigger than or egual to 5 and n can be dibided by 3.In this paper a necessary condition is also given whetherthere is a maximum distance isolated code among q-order (n,k) linear cedes. |
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| Keywords: | row distance minmum row distance Hamming distance Hamming minimum distance linear code maximum distance isolated code |
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