A class of array codes correcting multiple column erasures

A family of binary array codes of size (p-1)/spl times/n, with p a prime, correcting multiple column erasures is proposed. The codes coincide with a subclass of shortened Reed-Solomon codes and achieve the maximum possible correcting capability. Complexity of encoding and decoding is proportional to rnp, where r is the number of correctable erasures, i.e., is simpler than the Forney decoding algorithm. The length n of the codes is at most 2p-1, that is, twice as big as the length of the Blaum-Roth codes having comparable decoding complexity.