External Difference Families from Lines

Yuan Sun1, Hao Shen2
1Department of Mathematics and Physics Shanghai University of Electric Power 201300 Shanghai China
2Department of Mathematics Shanghai Jiaotong University 200240 Shanghai China

Abstract

Using lines in a two-dimensional vector space \({GF}(q^2)\) over \({GF}(q)\), we construct some classes of external difference families over \({GF}(q^2)\).