Weighted Hamming Metric Structures
Information Theory
2018-02-06 v1 math.IT
Abstract
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.
Keywords
Cite
@article{arxiv.1802.01073,
title = {Weighted Hamming Metric Structures},
author = {Bora Moon},
journal= {arXiv preprint arXiv:1802.01073},
year = {2018}
}
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9 pages