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Array codes correcting a two-dimensional cluster of errors

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4 Author(s)
Breitbach, M. ; Dept. of Inf. Technol., Ulm Univ., Germany ; Bossert, M. ; Zyablov, V. ; Sidorenko, V.

A novel construction method is presented for array codes correcting a single rectangular error cluster of size b1×b2 or less. Encoding is done in such a way that parity check symbols are calculated row-or columnwise which are a word of a one-dimensional code correcting a phased burst. These parity check symbols are not transmitted but can be calculated by the receiver. Corresponding decoding algorithms are given. A code is constructed with maximum size n1=b12b2, n2=b 22b1, and r=3b1b2 redundancy symbols which is close to the generalized Singleton bound r⩾2b1 b2. Its encoding and decoding complexity are low

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Information Theory, IEEE Transactions on  (Volume:44 ,  Issue: 5 )