Quaternary Golay sequence pairs II: odd length

نویسندگان

  • Richard G. Gibson
  • Jonathan Jedwab
چکیده

A 4-phase Golay sequence pair of length s ≡ 5 (mod 8) is constructed from a Barker sequence of the same length whose even-indexed elements are prescribed. This explains the origin of the 4-phase Golay seed pairs of length 5 and 13. The construction cannot produce new 4-phase Golay sequence pairs, because there are no Barker sequences of odd length greater than 13. A partial converse to the construction is given, under the assumption of additional structure on the 4-phase Golay sequence pair of length s ≡ 5 (mod 8).

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عنوان ژورنال:
  • Des. Codes Cryptography

دوره 59  شماره 

صفحات  -

تاریخ انتشار 2011