On difference matrices of coset type

  • Authors:
  • Yutaka Hiramine;Chihiro Suetake

  • Affiliations:
  • Department of Mathematics, Faculty of Education, Kumamoto University, Kurokami, Kumamoto, Japan;Department of Mathematics, Faculty of Engineering, Oita University, Oita, 870-1192, Japan

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2013

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Abstract

A (u,k;@l)-difference matrix H over a group U is said to be of coset type with respect to one of its rows, say w, whose entries are not equal, if it has the property that rw is also a row of H for any row r of H. In this article we study the structural property of such matrices with u(