# Two-dimensional array codes correcting rectangular burst errors

Two-dimensional array codes correcting rectangular burst errors Two-dimensional array codes correcting rectangular burst errors are considered. We give a construction and examples of linear two-dimensional array codes correcting rectangular burst errors of size b 1 × b 2 with minimum redundancy r = 2b 1 b 2. We present constructions of cyclic two-dimensional array codes correcting phased and arbitrary rectangular burst errors; their encoding and decoding algorithms are also given. A class of cyclic two-dimensional array codes correcting rectangular burst errors with asymptotically minimal redundancy is described. We construct a class of linear two-dimensional array codes correcting cyclic rectangular b 1 × b 2 burst errors with asymptotic excess redundancy $$\tilde r_C (b_1 ,b_2 ) = 2b_1 b_2 - 3$$ . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

# Two-dimensional array codes correcting rectangular burst errors

Problems of Information Transmission, Volume 42 (2) – Jul 7, 2006
16 pages

/lp/springer_journal/two-dimensional-array-codes-correcting-rectangular-burst-errors-WlwllrJduD
Publisher
Springer Journals
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946006020037
Publisher site
See Article on Publisher Site

### Abstract

Two-dimensional array codes correcting rectangular burst errors are considered. We give a construction and examples of linear two-dimensional array codes correcting rectangular burst errors of size b 1 × b 2 with minimum redundancy r = 2b 1 b 2. We present constructions of cyclic two-dimensional array codes correcting phased and arbitrary rectangular burst errors; their encoding and decoding algorithms are also given. A class of cyclic two-dimensional array codes correcting rectangular burst errors with asymptotically minimal redundancy is described. We construct a class of linear two-dimensional array codes correcting cyclic rectangular b 1 × b 2 burst errors with asymptotic excess redundancy $$\tilde r_C (b_1 ,b_2 ) = 2b_1 b_2 - 3$$ .

### Journal

Problems of Information TransmissionSpringer Journals

Published: Jul 7, 2006

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