Back to Search Start Over

On abelian $(2^{2m+1}(2^{m-1}+1), 2^m(2^m+1), 2^m)$-difference sets

Authors :
Arasu, K. T.
Chen, Yu Qing
Pott, Alexander
Publication Year :
2005
Publisher :
arXiv, 2005.

Abstract

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.<br />Comment: 18 pages

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....540078e3798368b43ee0554d0469d3cd
Full Text :
https://doi.org/10.48550/arxiv.math/0508086