Two-dimensional cluster-correcting codes

  • Authors:
  • M. Schwartz;T. Etzion

  • Affiliations:
  • Dept. of Comput. Sci., Technion-Israel Inst. of Technol., Haifa, Israel;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2005

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Abstract

We consider two-dimensional error-correcting codes capable of correcting a single arbitrary cluster of errors of size b. We provide optimal 2-cluster-correcting codes in several connectivity models, as well as optimal, or nearly optimal, 2-cluster-correcting codes in all dimensions. We also construct 3-cluster-correcting codes and b-straight-cluster-correcting codes. We conclude by improving the Reiger bound for two-dimensional cluster-correcting codes.