An Improved Cooperative Repair Scheme for Reed-Solomon Codes

01/10/2019

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by   Yaqian Zhang, et al.

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Dau et al. recently extend Guruswami and Wootters' scheme (STOC'2016) to cooperatively repair two or three erasures in Reed-Solomon (RS) codes. However, their scheme restricts to either the case that the characteristic of F divides the extension degree [F:B] or some special failure patterns, where F is the base field of the RS code and B is the subfield of the repair symbols. In this paper, we derive an improved cooperative repair scheme that removes all these restrictions. That is, our scheme applies to any characteristic of F and can repair all failure patterns of two or three erasures.