On abelian $(2^{2m+1}(2^{m-1}+1), 2^m(2^m+1), 2^m)$-difference sets
Combinatorics
2007-05-23 v1 Number Theory
Abstract
In this paper we prove that an abelian group contains -difference sets with if and only if it contains an elementary abelian 2-group of order . Our proof shows that the method of constructing such difference sets is essentially unique.
Cite
@article{arxiv.math/0508086,
title = {On abelian $(2^{2m+1}(2^{m-1}+1), 2^m(2^m+1), 2^m)$-difference sets},
author = {K. T. Arasu and Yu Qing Chen and Alexander Pott},
journal= {arXiv preprint arXiv:math/0508086},
year = {2007}
}
Comments
18 pages