Binary permutation sequences as subsets of Levenshtein codes, spectral null codes, run-length limited codes and constant weight codes

被引:0
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作者
Khmaies Ouahada
Theo G. Swart
Hendrik C. Ferreira
Ling Cheng
机构
[1] University of Johannesburg,Department of Electrical and Electronic Engineering Science
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关键词
Permutation codes; Insertion/deletion correcting codes; Constant weight codes; Spectral null codes; Run-length limited codes; 20B30; 20B35; 68P30; 94A05; 94A24; 94B50; 94B60;
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摘要
We investigate binary sequences which can be obtained by concatenating the columns of (0,1)-matrices derived from permutation sequences. We then prove that these binary sequences are subsets of a surprisingly diverse ensemble of codes, namely the Levenshtein codes, capable of correcting insertion/deletion errors; spectral null codes, with spectral nulls at certain frequencies; as well as being subsets of run-length limited codes, Nyquist null codes and constant weight codes.
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页码:141 / 154
页数:13
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