A novel construction method is presented for array codes correcting a single rectangular error cluster of size 61 X 62 or less. Encoding is done in such a way that parity check symbols are calculated rowor 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 = b12&2, b2 = b22, and r = 36i&2 redundancy symbols which is close to the generalized Singleton bound r > 26162- Its encoding and decoding complexity are low.
- Array codes, generalized singleton bound, hamming bound, two-dimensional cluster correcting codes