DOI link for 17Difference Matrices
17Difference Matrices book
EA(s). In fact, there is a (s, v, ` − λ, l − λs)-impulse matrix over EA(s). 17.36 Theorem  Let v = 1+nk be a prime power, with v or k even. For any odd prime
power s satisfying n+ 1 ≤ s ≤ b vk−1c, there exists a (s, v; v−k+12 )-difference matrix. 17.37 Theorem  If an OAλ(k, n) exists having λ constant columns, then, over any group
G of order n+ 1, there is a (n+ 1, k;λ(n− 1))-difference matrix. 17.38 Corollary  Let v be a prime power with v = 1+nk for n and k integers satisfying
n ≥ k−2 ≥ 0. For any group G of order n+1, there is a (n+1, v; 2+(n−1)k)-difference matrix over G.