A Difference Set in left( {mathbb{Z}/4mathbb{Z}} right)^3 times mathbb{Z}/5mathbb{Z}期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A Difference Set in left( {mathbb{Z}/4mathbb{Z}} right)^3 times mathbb{Z}/5mathbb{Z}

Authors:	K. T. Arasu Yu Qing Chen

Affiliation:	(1) Department of Mathematics and Statistics, Wright State University, Dayton, OH, 45435;(2) Department of Mathematics, RMIT-, City Campus, GPO Box 2476v, Melbourne, Victoria, 3001, Australia

Abstract:	We present a (320, 88, 24)-difference set in $left( {mathbb{Z}/4mathbb{Z}} right)^3 times mathbb{Z}/5mathbb{Z}$ , the existence of which was previously open. This new difference set improves a theorem of Davis-Jedwab with the removal of the exceptional case. It also enables us to state a theorem of Schmidt on Davis-Jedwab difference sets more neatly.

Keywords:	difference set building set relative difference set characters
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