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- W3216044229 abstract "New asymptotic upper bounds are presented on the rate of sequences of locally repairable codes (LRCs) with a prescribed relative minimum distance and locality over a finite field <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$F$ </tex-math></inline-formula> . The bounds apply to LRCs in which the recovery functions are linear; in particular, the bounds apply to linear LRCs over <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$F$ </tex-math></inline-formula> . The new bounds are shown to improve on previously published results, especially when the repair groups are disjoint, namely, they form a partition of the set of coordinates." @default.
- W3216044229 created "2021-12-06" @default.
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- W3216044229 date "2022-03-01" @default.
- W3216044229 modified "2023-10-16" @default.
- W3216044229 title "Asymptotic Bounds on the Rate of Locally Repairable Codes" @default.
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- W3216044229 doi "https://doi.org/10.1109/tit.2021.3131003" @default.
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