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A Difference Set in \left( {\mathbb{Z}/4\mathbb{Z}} \right)^3 \times \mathbb{Z}/5\mathbb{Z}
Authors:K T Arasu  Yu Qing Chen
Institution:(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 
$$\left( {\mathbb{Z}/4\mathbb{Z}} \right)^3 \times \mathbb{Z}/5\mathbb{Z} $$
, the existence of which was previously open. This new difference set improves a theorem of Davis-Jedwab with the removal of the ldquoexceptionalrdquo 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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