An Improved Cooperative Repair Scheme for Reed-Solomon Codes
Yaqian Zhang, Zhifang Zhang · 2019
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 schemes restrict 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 improved cooperative repair schemes for RS codes that remove all these restrictions. Specifically, we obtain a one-round cooperative repair scheme for any two erasures and a three-round scheme for any three erasures. When restricted to a wide class of failure patterns, we also achieve a one-round cooperative repair scheme for three erasures. The repair bandwidth of our schemes remains the same with that of Dau et al.'s schemes.