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math.CO2025
Cyclic relative difference sets and circulant weighing matrices
Daniel M. Gordon
An -relative difference set is a lifting of a -difference set. Lam gave a table of cyclic relative difference sets with in 1977, all of which were…
math.CO2020
On difference sets with small
Daniel M. Gordon
In a 1989 paper \cite{arasu2}, Arasu used an observation about multipliers to show that no difference set exists in any abelian group. The proof is quite short and req…
math.CO2003
On the existence of cyclic difference sets with small parameters
Leonard D. Baumert, Daniel M. Gordon
Previous surveys by Baumert and Lopez and Sanchez have resolved the existence of cyclic (v,k,lambda) difference sets with k <= 150, except for six open cases. In this paper we show…