A survey of the multiplier conjecture

We review the current status of the multiplier conjecture for difference sets, present some new results on it, and determine the open cases of the conjecture for abelian groups of order < 106. It turns out that for Paley parameters (4n − 1, 2n − 1, n − 1, n), where 4n − 1 is a prime power, the validity of the multiplier conjecture can be verified in the vast majority of cases, while for other parameter sets numerous cases remain open. 1 

• Type: Journal
• Year: 2016
• Where: DCC
• Authors: Daniel M. Gordon, Bernhard Schmidt
• Keywords: Computer Graphics, DCC 2016