Weighted Hamming metric structures
Copyright policy )Weighted Hamming metric structures
A weighted Hamming metric is introduced in [4] and it showed that the binary generalized Goppa code is a perfect code in some weighted Hamming metric. In this paper, we study the weight structures which admit the binary Hamming code and the extended binary Hamming code to be perfect codes in the weighted Hamming metric. And, we also give some structures of a 2-perfect code and how to construct a 2-perfect code in some weighted Hamming metric.
9 pages
- Pohang University of Science and Technology Korea (Republic of)
FOS: Computer and information sciences, weighted Hamming metric, Computer Science - Information Theory, Information Theory (cs.IT), perfect code, 94B05, weight distribution, Hamming code, extended Hamming code, Linear codes (general theory)
FOS: Computer and information sciences, weighted Hamming metric, Computer Science - Information Theory, Information Theory (cs.IT), perfect code, 94B05, weight distribution, Hamming code, extended Hamming code, Linear codes (general theory)
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