A class of cyclotomic linear codes and their generalized Hamming weights
Information Theory
2022-06-17 v1 math.IT
Number Theory
Abstract
Firstly, we give a formula on the generalized Hamming weight of linear codes constructed generically by defining sets. Secondly, by choosing properly the defining set we obtain a class of cyclotomic linear codes and then present two alternative formulas to calculate their generalized Hamming weights. Lastly, we determine their weight distribution and generalized Hamming weights partially. Especially, we solved the generalized Hamming weights completely in one case.
Keywords
Cite
@article{arxiv.1708.04415,
title = {A class of cyclotomic linear codes and their generalized Hamming weights},
author = {Fei Li},
journal= {arXiv preprint arXiv:1708.04415},
year = {2022}
}
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