Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-03T00:45:27.314Z Has data issue: false hasContentIssue false

ON STORER DIFFERENCE SETS

Published online by Cambridge University Press:  21 December 2000

MAOHUA LE
Affiliation:
Department of Mathematics, Zhanjiang Normal College, 29 Cunjin Road, Chikan, Zhanjiang, Guangdong, P. R. China
Get access

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−3r−1)/3 and q = ρ3r−3r+1, where ρ = 2+√3, ρ = 2 − √3, and r is a positive integer.

Type
NOTES AND PAPERS
Copyright
© The London Mathematical Society 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)