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Two-dimensional cluster-correcting codes

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2 Author(s)
Schwartz, M. ; Dept. of Comput. Sci., Technion-Israel Inst. of Technol., Haifa, Israel ; Etzion, T.

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.

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Information Theory, IEEE Transactions on  (Volume:51 ,  Issue: 6 )