On the Non-Existence of Certain Cyclic Block Designs

Abstract

<p> This thesis is concerned with the existence of cyclic block designs with parameters (b, v, r, k, λ) where λ = 1 , r = 2k and 3 ≤ k ≤ 6.</p> <p> It gives the proofs of the non-existence of cyclic block designs with k = 6, λ = 1 and r = 9, 10 and 12.</p>