Golay Complementary Sequences of Arbitrary Length and Asymptotic Existence of Hadamard Matrices

Cheng Du, Yi Jiang

In this work, we construct $4$-phase Golay complementary sequence (GCS) set of cardinality $2^{3+\lceil {\log }_{2}r\rceil }$ with arbitrary sequence length $n$, where the $10^{13}$-ba…