A class of array codes correcting multiple column erasures

  • Authors:
  • O. Keren;S. Litsyn

  • Affiliations:
  • Dept. of Electr. Eng.-Syst., Tel Aviv Univ.;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 1997

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Abstract

A family of binary array codes of size (p-1)×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