Let D be a subset of Z(mod n) be a (n,k,lambda)-difference set

Let D(complement) = Z(mod n)\D

Prove that any non zero element of Z(mod n) occurs 2(k-lambda) times as a difference of elements, one in D and the other in D(complement)

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- March 8th 2010, 01:48 PMscubasteve123balanced incomplete block designs
Let D be a subset of Z(mod n) be a (n,k,lambda)-difference set

Let D(complement) = Z(mod n)\D

Prove that any non zero element of Z(mod n) occurs 2(k-lambda) times as a difference of elements, one in D and the other in D(complement)