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 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.1007/s00373-015-1638-y
  • Title of Journal : GRAPHS AND COMBINATORICS
  • Page Numbers: pp.903-912

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.