New 64-QAM Golay complementary sequences

  • Authors:

  • Chung-Yi Chang;Ying Li;Jonathan Hirata

  • Affiliations:

  • Communications Engineering Department, Yuan Ze University, Chungli, Taoyuan, Taiwan, R.O.C.;Communications Engineering Department, Yuan Ze University, Chungli, Taoyuan, Taiwan, R.O.C.;Mathematics Department, Massachusetts Institute of Technology, Cambridge, MA

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2010

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Abstract

A construction of 64-QAM Golay complementary sequences was proposed by Lee and Golomb, where three QPSK Golay-Davis-Jedwab complementary sequences (GDJ sequences, or standard Golay sequences) related by a pair of offsets were combined to form each 64-QAM Golay sequence. Feasible offset pairs were given as first order generalized Boolean functions in algebraic normal form. New offset pairs were described in a conjecture of Li, leading to new 64-QAM Golay complementary sequences. The proof of the conjecture is presented.