On Optimal Locally Repairable Codes With Super-Linear Length

On Optimal Locally Repairable Codes With Super-Linear Length
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具有超线性长度的最优局部可修复码

DOI:
10.1109/tit.2020.2977647
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发表时间:
2020-03
影响因子:
2.5
通讯作者:
Xiaohu Tang
Xiaohu Tang
中科院分区:
计算机科学2区
文献类型:
--
作者:
Han Cai;Ying Miao;Moshe Schwartz;Xiaohu Tang

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在本文中,相对于Prakash等人提出的结合,具有最佳最小锤距的本地维修代码。被考虑。得出了此类最佳代码长度上的新上限。新界限适用于更多属
In this paper, locally repairable codes which have optimal minimum Hamming distance with respect to the bound presented by Prakash et al. are considered. New upper bounds on the length of such optimal codes are derived. The new bounds apply to more general cases, and have weaker requirements compared with the known ones. In this sense, they both improve and generalize previously known bounds. Further, optimal codes are constructed, whose length is order-optimal with respect to the new upper bounds. Notably, the length of the codes is super-linear in the alphabet size.
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