On Full Orthogonal Designs in Order \(72\)

We find new full orthogonal designs in order 72 and show that of 2700 possible \(OD(72; s_1, s_2, s_3, 72 – s_1 – s_2 – s_3)\), 335 are known, of 432 possible \(OD(72; s_1, s_2, 72 – s_1 – s_2)\), 308 are known. All possible \(OD(72; s_1, 72 – s_1)\) are known.