Articles with "codes hierarchical" as a keyword



Erasure Codes with a Hierarchical Bundle Structure

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Published in 2019 at "IEEE Transactions on Information Theory"

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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Published in 2019 at "IEEE Transactions on Information Theory"

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

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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

Codes with Hierarchical Locality on Artin-Schreier Surfaces

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Published in 2024 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498825410233

Abstract: In this article, we construct codes with hierarchical locality using natural geometric structures in Artin-Schreier surfaces of the form $y^p-y=f(x,z)$. Our main theorem describes the codes, their hierarchical structure and recovery algorithms, and gives parameters.… read more here.

Keywords: hierarchical locality; artin schreier; schreier surfaces; codes hierarchical ... See more keywords