11 citations · 15 across the 10 of their papers we have counts for
10 papers
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…
Modular Golomb rulers and almost difference sets
Daniel M. Gordon
A -difference set in a group of order is a subset of such that in the group ring satisfies $$D D^{-1}…
Signed Difference Sets
Daniel M. Gordon
A difference set in a group of order is a subset of such that in the group ring satisfies $$D D^{-1} =…
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…
New Nonexistence Results on Circulant Weighing Matrices
K. T. Arasu, Daniel M. Gordon, Yiran Zhang
A circulant weighing matrix is a square matrix of order and entries in such that . In his thesis, Strassler gave a table of…
On the Density of the Set of Known Hadamard Orders
Warwick de Launey, Daniel M. Gordon
Let be the number of for which a Hadamard matrix of order exists. Hadamard's conjecture states that is about . From Paley's constructions of Hadam…