Geodesic
Multi-covering radius for rank metric codes
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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The results of this paper are concerned with the multi-covering radius, a generalization of covering radius, of Rank Distance (RD) codes. This leads to greater understanding of RD codes and their distance properties. Results on multi-covering radii of RD codes under various constructions are given by varying the parameters. Some bounds are established. A relationship between multi-covering radii of an RD code and that of its ambient space is also found. The classical sphere bound is generalized.
DOI : 10.37236/236
Classification : 94B65, 94B75, 05B40, 11H31, 15A03 
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     author = {W. B. Vasantha and R. S. Selvaraj},
     title = {Multi-covering radius for rank metric codes},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {1},
     doi = {10.37236/236},
     zbl = {1190.94042},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/236/}
}
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W. B. Vasantha; R. S. Selvaraj. Multi-covering radius for rank metric codes. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/236

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