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

نویسندگان

  • Khmaies Ouahada
  • Theo G. Swart
  • Hendrik C. Ferreira
  • Ling Cheng
چکیده

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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عنوان ژورنال:
  • Des. Codes Cryptography

دوره 48  شماره 

صفحات  -

تاریخ انتشار 2008