Orthogonal Trades and the Intersection Problem for Orthogonal Arrays

DEMİRKALE F., Donovan D. M., Kucukcifci S., Yazici E. S.

GRAPHS AND COMBINATORICS, vol.32, no.3, pp.903-912, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.1007/s00373-015-1638-y
  • Journal Name: GRAPHS AND COMBINATORICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.903-912
  • Yıldız Technical University Affiliated: Yes

Abstract

This work provides an orthogonal trade for all possible volumes N is an element of Z(+) \ {1, 2, 3, 4, 5, 7} for block size 4. All orthogonal trades of volume N <= 15 are classified up to isomorphism for this block size. The intersection problem for orthogonal arrays with block size 4 is solved for all but finitely many possible exceptions.