Constructions of Golay Complementary (array) Sets Based on Extended Boolean Functions

In this paper, we propose a direct construction of Golay complementary sets (GCSs) with flexible length aq m for set size q k using extended Boolean functions (EBFs), where a and q are positive integers with a <= q. As an extension of GCSs, we also propose two-dimensional (2-D) Golay complementary array sets (GCASs) using 2-D EBFs. The parameters of the proposed GCASs are more flexible as compared to the previous works.