La Jolla Difference Set Repository

Here are the most wanted cases of open difference set parameters.


The other tables are organized by the size of k.

Baumert first compiled a list of cyclic difference set parameters with k<=100.

Lander gave a table for abelian difference sets with k<=50, which Kopilovich extended to k<=100. Lopez and Sanchez extended the list to parameters with k<=150. Here is a list of cyclic difference set parameters with k<=150

This table extends the list to parameters with k<=300.

This table contains certain known difference sets with k>300, including cyclic Hadamard difference sets with v < 10000.

This page gives details of computations showing that no planar cyclic difference sets of non-prime power order exist for for orders up to 2*10^9.


Many of the difference sets were produced using magma.

For other constructions and nonexistence proofs, see references in our paper. If you know of a set that's missing, please contact Dan Gordon at gordon@ccrwest.org.