On abelian (2n, n, 2n, 2)-difference sets
On abelian (2n, n, 2n, 2)-difference sets
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DOI：
10.1016/j.jcta.2009.12.001
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发表时间：
2010-10
期刊：
影响因子：
--
通讯作者：
Y. Hiramine
中科院分区：
文献类型：
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作者：
Y. Hiramine
在文章A。Blokhuis，D. Jungnickel和B.施密特（2002）[1]证明了如果存在阿贝尔（n，n，n，1）-差集，则n是素数的幂。本文证明了如果存在阿贝尔（2n，n，2n，2）-差集，则除少数特殊情况外，n是2的幂。这也是T. Feng和Q. Xiang（2008）[2]在阿贝尔情形下的结果。
In their article A. Blokhuis, D. Jungnickel and B. Schmidt (2002) [1] have shown that if an abelian (n,n,n,1)-difference set exists, then n is a power of a prime. In this article we prove that if an abelian (2n,n,2n,2)-difference set exists, then n is a power of 2 except in a few special cases. This is also a generalization of one of T. Feng and Q. Xiang's (2008) [2] results in the abelian case.