New Constructions of General QAM Golay Complementary Sequences

Abstract

There have been five constructions (Cases I to V) of 64-QAM Golay complementary sequences (GCSs), of which the Cases IV and V constructions were identified by Chang in 2010. The Generalized Cases I-III constructions for 4 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">q</sup> -QAM (q ≥ 1) GCSs were additionally proposed by Li. In this paper, the Generalized Case IV and Generalized Case V constructions for 4 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">q</sup> -QAM (q > =3) GCSs are proposed using selected Gaussian integer pairs, each of which contains two distinct Gaussian integers with identical magnitude and which are not conjugate with each other.