Mathematics – Combinatorics
Scientific paper
2005-08-04
Mathematics
Combinatorics
18 pages
Scientific paper
In this paper we prove that an abelian group contains $(2^{2m+1}(2^{m-1}+1),
2^m(2^m+1), 2^m)$-difference sets with $m\geqslant 3$ if and only if it
contains an elementary abelian 2-group of order $2^{2m}$. Our proof shows that
the method of constructing such difference sets is essentially unique.
Arasu K. T.
Chen Yu Qing
Pott Alexander
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