Research on Existent Range of Maximum Distance Isolated Code
- Received Date: 1998-10-06
- Publish Date: 1999-02-15
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Key words:
- row distance /
- minmum row distance /
- Hamming distance /
- Hamming minimum distance /
- linear code /
- maximum distance isolated code
Abstract: In this paper, row distance and minimum row distance of matrix on F2 are presented, and some properties about row distance are given. Two important theorems are proved. According to these theorems, a necessary codition is obtained whether there is a maximum distance isolated code among 2-order (n,k) linear codes: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 is bigger than or egual to 5 and n can be dibided by 3.In this paper a necessary condition is also given whether there is a maximum distance isolated code among q-order (n,k) linear cedes.
Citation: | Chen Qin. Research on Existent Range of Maximum Distance Isolated Code[J]. Journal of University of Electronic Science and Technology of China, 1999, 28(1): 70-73. |