In this paper we present and describe an improved version of the Zero-
Neighbors algorithm, which we call the Zero-Coverings algorithm. We al
so present a method for finding a smallest subset of codewords ( Zero-
Coverings) which need to be stored to perform the Zero-Coverings algor
ithm. For some short codes, the sizes of Zero-Coverings are obtained b
y computer searches; for long codes, an asymptotic bound on the sizes
of such subsets is also given.