Primitive symmetric designs with at most 255 points

In this paper we either prove the non-existence or give explicit construction of all (v, k, λ) symmetric designs with primitive automorphism groups of degree v ≤ 255. We prove that, up to isomorphism, there exist exactly 142 such designs. The research involves programming and wide-range computations. We make use of software package GAP and the library of primitive groups which it contains