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ON STORER DIFFERENCE SETS
Published online by Cambridge University Press: 21 December 2000
Abstract
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 =(ρ3r+ρ−3r−1)/3 and q = ρ3r+ρ−3r+1, where ρ = 2+√3, ρ− = 2 − √3, and r is a positive integer.
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- © The London Mathematical Society 2000