Constructions and nonexistence conditions for multi-dimensional Golay complementary array pairs are reviewed. A construction for a d-dimensional Golay array pair from a (d + 1)-dimensional Golay array pair is given. This is used to explain and expand previously known constructive and nonexistence results in the binary case. Keywords array, binary, complementary, complex-valued, construction, Golay, multidimensional, nonexistence, sequence
Jonathan Jedwab, Matthew G. Parker