Publication Details

Koukouvinos C and Seberry J, Necessary and sufficient conditions for some two variable orthogonal designs in order 36, Congressus Numerantium, 114 (1996), 129-140.


We give new sets of sequences with entries from {0, ±a, ±b, ±c, ±d} on the commuting variables a, b, c, d with zero autocorrelation function. We show that the necessary conditions are sufficient for the existence two variable orthogonal designs constructed from circulant matrices in order 36. Further we show that the necessary conditions for the existence of an OD(36;S1,S2) are sufficient except possibly for the following five cases: (3,29) (11,20) (11,21) (13,19) (15,17).