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Distributed repairing multiple erasures in Reed-Solomon codes

Xing Lin (Southwest Jiaotong University)

Cryptography and Communications
License: CC BY

Abstract: The application of Reed-Solomon (RS) codes in distributed storage systems is widespread. A lot of literature has proposed repair schemes for RS codes with one or multiple failed symbols, which can reduce communication cost during repair (i.e. repair bandwidth). However, for repair schemes of RS codes with multiple failed symbols, the existing distributed repair schemes can only repair $$e=\varvec{2}, \varvec{3}$$ erasures. In this paper, by intelligently dividing the set of evaluation points corresponding to failed symbols, a distributed repair scheme for RS codes with $$\varvec{e}\ge \varvec{4}$$ erasures is proposed.

Published on 03 Nov. 2025