Some interesting implications of the multiplier conjecture are pointed out in this paper. We show the nonexistence of seven unknown difference sets, assuming the multiplier conjecture. If any of those difference sets is found by other means, it would, therefore, disprove the multiplier conjecture. These difference sets correspond to seven missing entries in Lander’s table.
Citation
K. T. Arasu, D. L. Stewart. Certain Implications of the Multiplier Conjecture[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 003. 207-211. .