ON STORER DIFFERENCE SETS

Abstract

Let p, q be distinct odd primes, and let a, b be positive integers. In this paper we prove that if S(p^a, q^b) is a Storer difference set with the parameters ν = p^aq^b, k = (ν−1)/4 and λ =(ν−5)/16, then we have a = b = 1, p =(ρ^3r+ρ^−3r−1)/3 and q = ρ^3r+ρ^−3r+1, where ρ = 2+√3, ρ⁻ = 2 − √3, and r is a positive integer.