A difference set is a set 
of 
elements of a group 
of group
order 
such that the quotients 
with 
contain every nonidentity element
of 
exactly 
times. It is then called an 
-difference set in 
and has difference set
order 
.
A difference set with 
is called a planar difference set. The quadratic residues in the finite
field 
form a difference set in its additive group. Counting the
ordered quotients gives the necessary relation
 |
Gordon maintains an index of known difference sets.
A Hadamard difference set has parameters 
(Schmidt 2026).
."
Elec. J. Combin. 1, R6, 1994. 
with 
, 
." 27 Oct 2026.