16-QAM Golay complementary sequences with new sequence lengths

A collection of 16-QAM Golay complementary sequences with new sequence lengths 7, 9, and 15 is presented. These Golay sequences can be recursively combined to form other 16-QAM Golay sequences with numerous new sequence lengths. The existence of fixed-alphabet Golay complementary sequences with these lengths was previously unknown. Our results extend possible lengths of Golay complementary sequences, offering more flexibility for signal design.