On Storer Difference Sets
LE Mao-hua · Bulletin of the London Mathematical Society · 2000
Let p, q be distinct odd primes, and let a, b be positive integers. In this paper we prove that if S(pa, qb) is a Storer difference set with the parameters ν = paqb, k = (ν−1)/4 and λ =(ν−5)/16, then we have a = b = 1, p = ( ρ 3 r + ρ ¯ 3 r − 1 ) / 3 and q = ρ 3 r + ρ ¯ 3 r + 1 , where ρ = 2 + 3 , ρ ¯ = 2 − 3 and r is a positive integer. 1991 Mathematics Subject Classification 05B10.