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- W4297663735 abstract "Maximum Distance Separable (MDS) codes with a sparse and balanced generator matrix are appealing in distributed storage systems for balancing and minimizing the computational load. Such codes have been constructed via Reed-Solomon codes over large fields. In this paper, we focus on small fields. We prove that there exists an $[n,k]_q$ MDS code that has a sparse and balanced generator matrix for any $qgeq n$ provided that $nleq 2k$, by designing several algorithms with complexity running in polynomial time in $k$ and $n$." @default.
- W4297663735 created "2022-09-30" @default.
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- W4297663735 date "2020-11-11" @default.
- W4297663735 modified "2023-09-30" @default.
- W4297663735 title "Sparse and Balanced MDS Codes over Small Fields" @default.
- W4297663735 doi "https://doi.org/10.48550/arxiv.2011.05634" @default.
- W4297663735 hasPublicationYear "2020" @default.
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