The Prime Power Conjecture (PPC) states that abelian planar difference sets of order \(n\) exist only for \(n\) a prime power. Lander et al. have shown that orders divisible by certain composites can be eliminated. In this paper, we show how to extend this list of excluded orders.
Citation
Daniel M.Gordon. Some Restrictions on Orders of Abelian Planar Difference Sets[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 029. 241-246. .