Contents

Ars Combinatoria

  • Research article

On Sets of Orthogonal \(d\)-Cubes

Zoran Stojakovic1, Mila Stojakovic2
1Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad 21000 Novi Sad, Serbia
2Department of Mathematics, Faculty of Engineering, University of Novi Sad 21000 Novi Sad, Serbia
  • Published: 31/10/2008

Abstract

We define extended orthogonal sets of \(d\)-cubes and show that they are equivalent to a class of orthogonal arrays, to geometric nets and a class of codes. As a corollary, an upper bound for the maximal number of \(d\)-cubes in an orthogonal set is obtained.

Citation
Zoran Stojakovic, Mila Stojakovic. On Sets of Orthogonal \(d\)-Cubes[J], Ars Combinatoria, Volume 089. 21-30. .