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Everything about Barker code

Sequence of digital values used for synchronisation

In telecommunication technology, a Barker code or Barker sequence is a finite sequence of digital values with the ideal autocorrelation property. It is used as a synchronising pattern between the sender and receiver of a stream of bits. Apart from the trivial sequence of length 1, the known Barker sequences have lengths 2, 3, 4, 5, 7, 11 and 13. It is conjectured that no longer sequence exists; this is proved for odd lengths, while the possible existence of an even Barker sequence longer than 4 remains open. Wikipedia →

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  1. Read the overview: Barker codeA 5-minute orientation
  2. Skim a recent paper: Micro-crack defects detection of semiconductor Si-wafers based on Barker code laser infrared thermographyInfluential work since 2022
  3. Pick up a classic book: Beginning Java objectsThe most-reprinted book on the subject
  4. Read the landmark paper: A new algorithm to optimize Barker code sidelobe suppression filtersCited 25 times
  5. Go sideways: Ryser's conjecture on circulant Hadamard matricesA closely related topic
  6. Go sideways: Littlewood polynomialA closely related topic

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