A Framework for the Construction of Golay Sequences

  title={A Framework for the Construction of Golay Sequences},
  author={Frank Fiedler and Jonathan Jedwab and Matthew G. Parker},
In 1999 Davis and Jedwab gave an explicit algebraic normal form for m! · 2 ordered Golay pairs of length 2 over Z2h , involving m!/2 · 2 Golay sequences. In 2005 Li and Chu unexpectedly found an additional 1024 length 16 quaternary Golay sequences. Fiedler and Jedwab showed in 2006 that these new Golay sequences exist because of a “cross-over” of the aperiodic autocorrelation function of certain quaternary length 8 sequences belonging to Golay pairs, and that they spawn further new quaternary… CONTINUE READING
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