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• W3045620171 abstract "We propose new repair schemes for Reed-Solomon codes that use subspace polynomials and hence generalize previous works in the literature that employ trace polynomials. The Reed-Solomon codes are over $mathbb{F}_{q^ell}$ and have redundancy $r = n-k geq q^m$, $1leq mleq ell$, where $n$ and $k$ are the code length and dimension, respectively. In particular, for one erasure, we show that our schemes can achieve optimal repair bandwidths whenever $n=q^ell$ and $r = q^m,$ for all $1 leq m leq ell$. For two erasures, our schemes use the same bandwidth per erasure as the single erasure schemes, for $ell/m$ is a power of $q$, and for $ell=q^a$, $m=q^b-1>1$ ($a geq b geq 1$), and for $mgeq ell/2$ when $ell$ is even and $q$ is a power of two." @default.
• W3045620171 created "2020-08-03" @default.
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• W3045620171 date "2020-07-30" @default.
• W3045620171 modified "2023-09-27" @default.
• W3045620171 title "Repairing Reed-Solomon Codes via Subspace Polynomials" @default.
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• W3045620171 hasPublicationYear "2020" @default.
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