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On Storer Difference Sets

On Storer Difference Sets 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. 1991 Mathematics Subject Classification 05B10. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

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References (11)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S0024609300007633
Publisher site
See Article on Publisher Site

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. 1991 Mathematics Subject Classification 05B10.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Nov 1, 2000

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