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Two-dimensional array codes correcting rectangular burst errors

  • Coding Theory
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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 \(\tilde r_C (b_1 ,b_2 ) = 2b_1 b_2 - 3\).

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Authors and Affiliations

  1. Institute for System Analysis, RAS, Moscow, Russia

    I. M. Boyarinov

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  1. I. M. Boyarinov
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Original Russian Text © I.M. Boyarinov, 2006, published in Problemy Peredachi Informatsii, 2006, Vol. 42, No. 2, pp. 26–43.

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Boyarinov, I.M. Two-dimensional array codes correcting rectangular burst errors. Probl Inf Transm 42, 90–105 (2006). https://doi.org/10.1134/S0032946006020037

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