Optimal codes for correcting a single (wrap-around) burst of errors

In 2007, Martinian and Trott presented codes for correcting a burst of erasures with a minimum decoding delay. Their construction employs [n,k] codes that can correct any burst of erasures (including wrap-around bursts) of length n-k. The raised the question if such [n,k] codes exist for all integer...

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Hauptverfasser: Hollmann, Henk D. L, Tolhuizen, Ludo M. G. M
Format: Artikel
Sprache:eng
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Zusammenfassung:In 2007, Martinian and Trott presented codes for correcting a burst of erasures with a minimum decoding delay. Their construction employs [n,k] codes that can correct any burst of erasures (including wrap-around bursts) of length n-k. The raised the question if such [n,k] codes exist for all integers k and n with 1
DOI:10.48550/arxiv.0712.2182