Erasure Codes with a Hierarchical Bundle Structure
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DOI: 10.1109/tit.2017.2777836
Abstract: This paper presents a proof of the existence of computationally fast probabilistic erasure codes at distance ∈ from being MDS, namely the decoding algorithm is able with high probability to reconstruct the n letter message… read more here.
Keywords: codes hierarchical; erasure codes; hierarchical bundle; erasure ... See more keywords
Codes With Hierarchical Locality From Covering Maps of Curves
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DOI: 10.1109/tit.2019.2919830
Abstract: Locally recoverable (LRC) codes provide ways of recovering erased coordinates of the codeword without having to access each of the remaining coordinates. A subfamily of LRC codes with hierarchical locality (H-LRC codes) provides added flexibility… read more here.
Keywords: locality covering; codes hierarchical; covering maps; lrc codes ... See more keywords
New Optimal Linear Codes With Hierarchical Locality
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2022.3218280
Abstract: Locally repairable codes with hierarchical locality (H-LRCs) are designed to correct different numbers of erasures, which play a crucial role in large-scale distributed storage systems. In this paper, we construct three classes of $q$ -ary… read more here.
Keywords: hierarchical locality; inline formula; codes hierarchical; tex math ... See more keywords