  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.
