IEEE Transactions on Information Theory · 2010 · 65 citations · 14 references
ComputingComputer ScienceMathematicsAlgorithmsQuantum ComputingSequence AnalysisBoolean AlgebraLogic SynthesisArithmetic Circuit SynthesisBoolean Function RepresentationBoolean FunctionsNormal Form RepresentationNormal Form Theory
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.
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