Name
Abstract | ||
|---|---|---|
It is known that the binary generalized Goppa codes are perfect codes for the weighted Hamming metrics. In this paper, we present the existence of a weighted Hamming metric that admits a binary Hamming code (resp. an extended binary Hamming code) to be perfect code. For a special weighted Hamming metric, we also give some structures of a 2-perfect code, show how to construct a 2-perfect linear code and obtain the weight distribution of a 2-perfect code from the partial information of the code. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.disc.2018.08.006 | Discrete Mathematics |
Keywords | DocType | Volume |
Perfect code,Weighted Hamming metric,Weight distribution,Hamming code,Extended Hamming code | Journal | 341 |
Issue | ISSN | Citations |
11 | 0012-365X | 0 |
PageRank | References | Authors |
0.34 | 0 | 1 |